From f3330bbedeeb27a8e31bcc93c35baaf3dc708621 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Fri, 25 Sep 2020 10:57:44 -0400
Subject: [PATCH 01/18] Add correlation map to EDA

---
 src/python/EDA/Correlation code.ipynb copy | 1555 ++++++++++++++++++++
 1 file changed, 1555 insertions(+)
 create mode 100644 src/python/EDA/Correlation code.ipynb copy

diff --git a/src/python/EDA/Correlation code.ipynb copy b/src/python/EDA/Correlation code.ipynb copy
new file mode 100644
index 0000000..e3a834e
--- /dev/null
+++ b/src/python/EDA/Correlation code.ipynb copy	
@@ -0,0 +1,1555 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 72,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>CCL</th>\n",
+       "      <th>Tissue</th>\n",
+       "      <th>Medium</th>\n",
+       "      <th>Culture</th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>...</th>\n",
+       "      <th>C56:8 TAG</th>\n",
+       "      <th>C56:7 TAG</th>\n",
+       "      <th>C56:6 TAG</th>\n",
+       "      <th>C56:5 TAG</th>\n",
+       "      <th>C56:4 TAG</th>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>DMS53</td>\n",
+       "      <td>LUNG</td>\n",
+       "      <td>Waymouth</td>\n",
+       "      <td>Adherent</td>\n",
+       "      <td>6.112727</td>\n",
+       "      <td>6.034198</td>\n",
+       "      <td>5.896896</td>\n",
+       "      <td>6.000532</td>\n",
+       "      <td>5.513618</td>\n",
+       "      <td>5.868529</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.070239</td>\n",
+       "      <td>6.133433</td>\n",
+       "      <td>6.091089</td>\n",
+       "      <td>6.257711</td>\n",
+       "      <td>6.372732</td>\n",
+       "      <td>6.202511</td>\n",
+       "      <td>5.939576</td>\n",
+       "      <td>6.309821</td>\n",
+       "      <td>6.115974</td>\n",
+       "      <td>5.999436</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>SW1116</td>\n",
+       "      <td>LARGE INTESTINE</td>\n",
+       "      <td>L15</td>\n",
+       "      <td>Adherent</td>\n",
+       "      <td>5.577413</td>\n",
+       "      <td>5.727045</td>\n",
+       "      <td>5.111468</td>\n",
+       "      <td>6.073250</td>\n",
+       "      <td>5.802494</td>\n",
+       "      <td>5.824473</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.248653</td>\n",
+       "      <td>6.633575</td>\n",
+       "      <td>6.378052</td>\n",
+       "      <td>6.341043</td>\n",
+       "      <td>6.360945</td>\n",
+       "      <td>6.333540</td>\n",
+       "      <td>6.137271</td>\n",
+       "      <td>7.065858</td>\n",
+       "      <td>6.832174</td>\n",
+       "      <td>6.363064</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>NCIH1694</td>\n",
+       "      <td>LUNG</td>\n",
+       "      <td>DMEM-F12 wGln</td>\n",
+       "      <td>Suspension</td>\n",
+       "      <td>5.886398</td>\n",
+       "      <td>5.574881</td>\n",
+       "      <td>5.541259</td>\n",
+       "      <td>5.848375</td>\n",
+       "      <td>5.665026</td>\n",
+       "      <td>5.875548</td>\n",
+       "      <td>...</td>\n",
+       "      <td>5.942887</td>\n",
+       "      <td>5.946988</td>\n",
+       "      <td>5.837980</td>\n",
+       "      <td>5.913350</td>\n",
+       "      <td>6.137530</td>\n",
+       "      <td>5.807546</td>\n",
+       "      <td>5.704149</td>\n",
+       "      <td>5.881193</td>\n",
+       "      <td>5.785208</td>\n",
+       "      <td>5.504225</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>P3HR1</td>\n",
+       "      <td>HAEMATOPOIETIC AND LYMPHOID TISSUE</td>\n",
+       "      <td>RPMI</td>\n",
+       "      <td>Empty</td>\n",
+       "      <td>5.770030</td>\n",
+       "      <td>6.099229</td>\n",
+       "      <td>6.233259</td>\n",
+       "      <td>5.543495</td>\n",
+       "      <td>5.767759</td>\n",
+       "      <td>6.155905</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.516922</td>\n",
+       "      <td>6.113791</td>\n",
+       "      <td>6.282113</td>\n",
+       "      <td>6.248667</td>\n",
+       "      <td>6.109480</td>\n",
+       "      <td>6.043570</td>\n",
+       "      <td>5.846802</td>\n",
+       "      <td>6.429402</td>\n",
+       "      <td>5.779815</td>\n",
+       "      <td>6.241530</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>HUT78</td>\n",
+       "      <td>HAEMATOPOIETIC AND LYMPHOID TISSUE</td>\n",
+       "      <td>RPMI</td>\n",
+       "      <td>Empty</td>\n",
+       "      <td>5.480683</td>\n",
+       "      <td>5.469742</td>\n",
+       "      <td>6.509397</td>\n",
+       "      <td>6.251005</td>\n",
+       "      <td>5.190578</td>\n",
+       "      <td>5.897085</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.161981</td>\n",
+       "      <td>6.777932</td>\n",
+       "      <td>6.676390</td>\n",
+       "      <td>6.695659</td>\n",
+       "      <td>6.751029</td>\n",
+       "      <td>6.385056</td>\n",
+       "      <td>6.682612</td>\n",
+       "      <td>6.757899</td>\n",
+       "      <td>6.728570</td>\n",
+       "      <td>6.879260</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 229 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "        CCL                              Tissue         Medium     Culture  \\\n",
+       "0     DMS53                                LUNG       Waymouth    Adherent   \n",
+       "1    SW1116                     LARGE INTESTINE            L15    Adherent   \n",
+       "2  NCIH1694                                LUNG  DMEM-F12 wGln  Suspension   \n",
+       "3     P3HR1  HAEMATOPOIETIC AND LYMPHOID TISSUE           RPMI       Empty   \n",
+       "4     HUT78  HAEMATOPOIETIC AND LYMPHOID TISSUE           RPMI       Empty   \n",
+       "\n",
+       "   2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  4-pyridoxate  \\\n",
+       "0        6.112727            6.034198                5.896896      6.000532   \n",
+       "1        5.577413            5.727045                5.111468      6.073250   \n",
+       "2        5.886398            5.574881                5.541259      5.848375   \n",
+       "3        5.770030            6.099229                6.233259      5.543495   \n",
+       "4        5.480683            5.469742                6.509397      6.251005   \n",
+       "\n",
+       "   Aconitate   Adenine  ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  \\\n",
+       "0   5.513618  5.868529  ...   6.070239   6.133433   6.091089   6.257711   \n",
+       "1   5.802494  5.824473  ...   6.248653   6.633575   6.378052   6.341043   \n",
+       "2   5.665026  5.875548  ...   5.942887   5.946988   5.837980   5.913350   \n",
+       "3   5.767759  6.155905  ...   6.516922   6.113791   6.282113   6.248667   \n",
+       "4   5.190578  5.897085  ...   6.161981   6.777932   6.676390   6.695659   \n",
+       "\n",
+       "   C56:4 TAG  C56:3 TAG  C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+       "0   6.372732   6.202511   5.939576   6.309821   6.115974   5.999436  \n",
+       "1   6.360945   6.333540   6.137271   7.065858   6.832174   6.363064  \n",
+       "2   6.137530   5.807546   5.704149   5.881193   5.785208   5.504225  \n",
+       "3   6.109480   6.043570   5.846802   6.429402   5.779815   6.241530  \n",
+       "4   6.751029   6.385056   6.682612   6.757899   6.728570   6.879260  \n",
+       "\n",
+       "[5 rows x 229 columns]"
+      ]
+     },
+     "execution_count": 72,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import pandas as pd\n",
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "md.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "\n",
+      "md after deleting column\n",
+      "--------------\n",
+      "          CCL  2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  \\\n",
+      "0       DMS53        6.112727            6.034198                5.896896   \n",
+      "1      SW1116        5.577413            5.727045                5.111468   \n",
+      "2    NCIH1694        5.886398            5.574881                5.541259   \n",
+      "3       P3HR1        5.770030            6.099229                6.233259   \n",
+      "4       HUT78        5.480683            5.469742                6.509397   \n",
+      "..        ...             ...                 ...                     ...   \n",
+      "917     SF268        5.977636            6.026483                6.480536   \n",
+      "918     SF539        5.957233            6.090834                5.323475   \n",
+      "919     SNB75        5.967707            5.931487                5.620542   \n",
+      "920     HOP92        5.962415            5.992640                6.296222   \n",
+      "921     MUTZ3        6.332344            5.812531                5.446330   \n",
+      "\n",
+      "     4-pyridoxate  Aconitate   Adenine   Adipate  Alpha-ketoglutarate  \\\n",
+      "0        6.000532   5.513618  5.868529  5.977177             5.693074   \n",
+      "1        6.073250   5.802494  5.824473  5.888821             5.768379   \n",
+      "2        5.848375   5.665026  5.875548  5.894904             5.839640   \n",
+      "3        5.543495   5.767759  6.155905  6.111148             5.949481   \n",
+      "4        6.251005   5.190578  5.897085  6.148333             5.607481   \n",
+      "..            ...        ...       ...       ...                  ...   \n",
+      "917      6.112056   5.878324  5.732508  5.981183             6.459139   \n",
+      "918      6.145795   5.741201  5.605435  6.184192             6.004195   \n",
+      "919      5.955261   5.935244  5.384674  5.955886             6.239657   \n",
+      "920      5.916386   6.043984  5.883976  5.954731             6.181054   \n",
+      "921      6.469052   5.501232  6.469954  6.136017             5.479015   \n",
+      "\n",
+      "          AMP  ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  C56:4 TAG  \\\n",
+      "0    5.923737  ...   6.070239   6.133433   6.091089   6.257711   6.372732   \n",
+      "1    5.760784  ...   6.248653   6.633575   6.378052   6.341043   6.360945   \n",
+      "2    5.742613  ...   5.942887   5.946988   5.837980   5.913350   6.137530   \n",
+      "3    6.342703  ...   6.516922   6.113791   6.282113   6.248667   6.109480   \n",
+      "4    5.871600  ...   6.161981   6.777932   6.676390   6.695659   6.751029   \n",
+      "..        ...  ...        ...        ...        ...        ...        ...   \n",
+      "917  5.642855  ...   5.547818   5.703861   5.581725   5.506887   5.362247   \n",
+      "918  5.663866  ...   5.713210   5.651439   5.720680   5.387960   5.275798   \n",
+      "919  5.527619  ...   5.605403   5.317500   5.630315   5.433324   5.330957   \n",
+      "920  5.820966  ...   5.949798   6.249271   6.248746   6.130000   5.873297   \n",
+      "921  5.694210  ...   6.588558   6.548211   6.667652   6.868391   6.598519   \n",
+      "\n",
+      "     C56:3 TAG  C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+      "0     6.202511   5.939576   6.309821   6.115974   5.999436  \n",
+      "1     6.333540   6.137271   7.065858   6.832174   6.363064  \n",
+      "2     5.807546   5.704149   5.881193   5.785208   5.504225  \n",
+      "3     6.043570   5.846802   6.429402   5.779815   6.241530  \n",
+      "4     6.385056   6.682612   6.757899   6.728570   6.879260  \n",
+      "..         ...        ...        ...        ...        ...  \n",
+      "917   5.322091   5.556126   5.544802   4.897559   5.506999  \n",
+      "918   5.289684   5.494241   5.533795   5.139488   5.452544  \n",
+      "919   5.481404   5.570553   5.146598   5.010639   5.114385  \n",
+      "920   5.826041   5.997694   6.411166   6.105394   6.387275  \n",
+      "921   5.956474   6.022471   6.862916   7.045115   6.841075  \n",
+      "\n",
+      "[922 rows x 226 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "metabolites = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "print('\\n\\nmd after deleting column\\n--------------')\n",
+    "print(metabolites)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
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+       "\n",
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+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Cell Line</th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>DMS53</td>\n",
+       "      <td>0.116020</td>\n",
+       "      <td>-0.153144</td>\n",
+       "      <td>-0.348607</td>\n",
+       "      <td>-1.417128</td>\n",
+       "      <td>-1.281177</td>\n",
+       "      <td>-0.719707</td>\n",
+       "      <td>-0.208080</td>\n",
+       "      <td>-0.033416</td>\n",
+       "      <td>-0.967821</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.396178</td>\n",
+       "      <td>1.261963</td>\n",
+       "      <td>0.492776</td>\n",
+       "      <td>-0.211349</td>\n",
+       "      <td>-0.554973</td>\n",
+       "      <td>-0.222912</td>\n",
+       "      <td>-0.310910</td>\n",
+       "      <td>-0.272655</td>\n",
+       "      <td>0.271469</td>\n",
+       "      <td>0.469647</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>SW1116</td>\n",
+       "      <td>-0.058624</td>\n",
+       "      <td>0.219592</td>\n",
+       "      <td>0.110946</td>\n",
+       "      <td>-0.170282</td>\n",
+       "      <td>0.334630</td>\n",
+       "      <td>0.497303</td>\n",
+       "      <td>0.307907</td>\n",
+       "      <td>-0.466686</td>\n",
+       "      <td>0.062518</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.198709</td>\n",
+       "      <td>-1.394997</td>\n",
+       "      <td>-1.123119</td>\n",
+       "      <td>-1.501911</td>\n",
+       "      <td>-0.180229</td>\n",
+       "      <td>-0.075173</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.051018</td>\n",
+       "      <td>0.099032</td>\n",
+       "      <td>0.169761</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>NCIH1694</td>\n",
+       "      <td>0.480909</td>\n",
+       "      <td>0.298440</td>\n",
+       "      <td>0.073777</td>\n",
+       "      <td>0.413953</td>\n",
+       "      <td>-0.479543</td>\n",
+       "      <td>0.133280</td>\n",
+       "      <td>0.053279</td>\n",
+       "      <td>-0.220467</td>\n",
+       "      <td>-0.427160</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.055683</td>\n",
+       "      <td>-0.659294</td>\n",
+       "      <td>0.114288</td>\n",
+       "      <td>-1.289012</td>\n",
+       "      <td>0.280396</td>\n",
+       "      <td>0.117564</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.185984</td>\n",
+       "      <td>0.191760</td>\n",
+       "      <td>-0.437561</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>P3HR1</td>\n",
+       "      <td>-0.079957</td>\n",
+       "      <td>-0.617656</td>\n",
+       "      <td>-0.566702</td>\n",
+       "      <td>0.079932</td>\n",
+       "      <td>0.373140</td>\n",
+       "      <td>0.159682</td>\n",
+       "      <td>0.060946</td>\n",
+       "      <td>-0.181112</td>\n",
+       "      <td>0.208328</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1.098303</td>\n",
+       "      <td>0.381884</td>\n",
+       "      <td>0.258282</td>\n",
+       "      <td>0.751323</td>\n",
+       "      <td>0.031194</td>\n",
+       "      <td>-0.199316</td>\n",
+       "      <td>0.037929</td>\n",
+       "      <td>0.003978</td>\n",
+       "      <td>-0.225147</td>\n",
+       "      <td>-0.061445</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>HUT78</td>\n",
+       "      <td>-0.059965</td>\n",
+       "      <td>-0.063483</td>\n",
+       "      <td>-0.267980</td>\n",
+       "      <td>0.357422</td>\n",
+       "      <td>0.075651</td>\n",
+       "      <td>0.047830</td>\n",
+       "      <td>0.115243</td>\n",
+       "      <td>-0.498239</td>\n",
+       "      <td>-0.059567</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.185237</td>\n",
+       "      <td>0.239421</td>\n",
+       "      <td>0.358072</td>\n",
+       "      <td>-0.176527</td>\n",
+       "      <td>-0.351188</td>\n",
+       "      <td>0.037021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.045495</td>\n",
+       "      <td>-0.153684</td>\n",
+       "      <td>-0.106306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 43 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "  Cell Line   H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  \\\n",
+       "0     DMS53  0.116020 -0.153144 -0.348607 -1.417128      -1.281177   \n",
+       "1    SW1116 -0.058624  0.219592  0.110946 -0.170282       0.334630   \n",
+       "2  NCIH1694  0.480909  0.298440  0.073777  0.413953      -0.479543   \n",
+       "3     P3HR1 -0.079957 -0.617656 -0.566702  0.079932       0.373140   \n",
+       "4     HUT78 -0.059965 -0.063483 -0.267980  0.357422       0.075651   \n",
+       "\n",
+       "   H3K9me1K14ac0  H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  ...  \\\n",
+       "0      -0.719707      -0.208080      -0.033416      -0.967821  ...   \n",
+       "1       0.497303       0.307907      -0.466686       0.062518  ...   \n",
+       "2       0.133280       0.053279      -0.220467      -0.427160  ...   \n",
+       "3       0.159682       0.060946      -0.181112       0.208328  ...   \n",
+       "4       0.047830       0.115243      -0.498239      -0.059567  ...   \n",
+       "\n",
+       "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "0        0.396178        1.261963        0.492776       -0.211349   \n",
+       "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+       "2        0.055683       -0.659294        0.114288       -1.289012   \n",
+       "3        1.098303        0.381884        0.258282        0.751323   \n",
+       "4       -0.185237        0.239421        0.358072       -0.176527   \n",
+       "\n",
+       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+       "\n",
+       "[5 rows x 43 columns]"
+      ]
+     },
+     "execution_count": 39,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "hm.head()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 77,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>CCL</th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>Adipate</th>\n",
+       "      <th>Alpha-ketoglutarate</th>\n",
+       "      <th>AMP</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>DMS53</td>\n",
+       "      <td>6.112727</td>\n",
+       "      <td>6.034198</td>\n",
+       "      <td>5.896896</td>\n",
+       "      <td>6.000532</td>\n",
+       "      <td>5.513618</td>\n",
+       "      <td>5.868529</td>\n",
+       "      <td>5.977177</td>\n",
+       "      <td>5.693074</td>\n",
+       "      <td>5.923737</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.396178</td>\n",
+       "      <td>1.261963</td>\n",
+       "      <td>0.492776</td>\n",
+       "      <td>-0.211349</td>\n",
+       "      <td>-0.554973</td>\n",
+       "      <td>-0.222912</td>\n",
+       "      <td>-0.310910</td>\n",
+       "      <td>-0.272655</td>\n",
+       "      <td>0.271469</td>\n",
+       "      <td>0.469647</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>SW1116</td>\n",
+       "      <td>5.577413</td>\n",
+       "      <td>5.727045</td>\n",
+       "      <td>5.111468</td>\n",
+       "      <td>6.073250</td>\n",
+       "      <td>5.802494</td>\n",
+       "      <td>5.824473</td>\n",
+       "      <td>5.888821</td>\n",
+       "      <td>5.768379</td>\n",
+       "      <td>5.760784</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.198709</td>\n",
+       "      <td>-1.394997</td>\n",
+       "      <td>-1.123119</td>\n",
+       "      <td>-1.501911</td>\n",
+       "      <td>-0.180229</td>\n",
+       "      <td>-0.075173</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.051018</td>\n",
+       "      <td>0.099032</td>\n",
+       "      <td>0.169761</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>NCIH1694</td>\n",
+       "      <td>5.886398</td>\n",
+       "      <td>5.574881</td>\n",
+       "      <td>5.541259</td>\n",
+       "      <td>5.848375</td>\n",
+       "      <td>5.665026</td>\n",
+       "      <td>5.875548</td>\n",
+       "      <td>5.894904</td>\n",
+       "      <td>5.839640</td>\n",
+       "      <td>5.742613</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.055683</td>\n",
+       "      <td>-0.659294</td>\n",
+       "      <td>0.114288</td>\n",
+       "      <td>-1.289012</td>\n",
+       "      <td>0.280396</td>\n",
+       "      <td>0.117564</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.185984</td>\n",
+       "      <td>0.191760</td>\n",
+       "      <td>-0.437561</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>P3HR1</td>\n",
+       "      <td>5.770030</td>\n",
+       "      <td>6.099229</td>\n",
+       "      <td>6.233259</td>\n",
+       "      <td>5.543495</td>\n",
+       "      <td>5.767759</td>\n",
+       "      <td>6.155905</td>\n",
+       "      <td>6.111148</td>\n",
+       "      <td>5.949481</td>\n",
+       "      <td>6.342703</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1.098303</td>\n",
+       "      <td>0.381884</td>\n",
+       "      <td>0.258282</td>\n",
+       "      <td>0.751323</td>\n",
+       "      <td>0.031194</td>\n",
+       "      <td>-0.199316</td>\n",
+       "      <td>0.037929</td>\n",
+       "      <td>0.003978</td>\n",
+       "      <td>-0.225147</td>\n",
+       "      <td>-0.061445</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>HUT78</td>\n",
+       "      <td>5.480683</td>\n",
+       "      <td>5.469742</td>\n",
+       "      <td>6.509397</td>\n",
+       "      <td>6.251005</td>\n",
+       "      <td>5.190578</td>\n",
+       "      <td>5.897085</td>\n",
+       "      <td>6.148333</td>\n",
+       "      <td>5.607481</td>\n",
+       "      <td>5.871600</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.185237</td>\n",
+       "      <td>0.239421</td>\n",
+       "      <td>0.358072</td>\n",
+       "      <td>-0.176527</td>\n",
+       "      <td>-0.351188</td>\n",
+       "      <td>0.037021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.045495</td>\n",
+       "      <td>-0.153684</td>\n",
+       "      <td>-0.106306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 269 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "        CCL  2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  \\\n",
+       "0     DMS53        6.112727            6.034198                5.896896   \n",
+       "1    SW1116        5.577413            5.727045                5.111468   \n",
+       "2  NCIH1694        5.886398            5.574881                5.541259   \n",
+       "3     P3HR1        5.770030            6.099229                6.233259   \n",
+       "4     HUT78        5.480683            5.469742                6.509397   \n",
+       "\n",
+       "   4-pyridoxate  Aconitate   Adenine   Adipate  Alpha-ketoglutarate       AMP  \\\n",
+       "0      6.000532   5.513618  5.868529  5.977177             5.693074  5.923737   \n",
+       "1      6.073250   5.802494  5.824473  5.888821             5.768379  5.760784   \n",
+       "2      5.848375   5.665026  5.875548  5.894904             5.839640  5.742613   \n",
+       "3      5.543495   5.767759  6.155905  6.111148             5.949481  6.342703   \n",
+       "4      6.251005   5.190578  5.897085  6.148333             5.607481  5.871600   \n",
+       "\n",
+       "   ...  H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "0  ...        0.396178        1.261963        0.492776       -0.211349   \n",
+       "1  ...       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+       "2  ...        0.055683       -0.659294        0.114288       -1.289012   \n",
+       "3  ...        1.098303        0.381884        0.258282        0.751323   \n",
+       "4  ...       -0.185237        0.239421        0.358072       -0.176527   \n",
+       "\n",
+       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+       "\n",
+       "[5 rows x 269 columns]"
+      ]
+     },
+     "execution_count": 77,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "result = metabolites.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "result.head()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 83,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "RangeIndex: 922 entries, 0 to 921\n",
+      "Columns: 226 entries, CCL to C58:6 TAG\n",
+      "dtypes: float64(225), object(1)\n",
+      "memory usage: 1.6+ MB\n",
+      "\n",
+      "\n",
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "RangeIndex: 866 entries, 0 to 865\n",
+      "Data columns (total 43 columns):\n",
+      " #   Column            Non-Null Count  Dtype  \n",
+      "---  ------            --------------  -----  \n",
+      " 0   Cell Line         866 non-null    object \n",
+      " 1   H3K4me0           865 non-null    float64\n",
+      " 2   H3K4me1           866 non-null    float64\n",
+      " 3   H3K4me2           865 non-null    float64\n",
+      " 4   H3K4ac1           790 non-null    float64\n",
+      " 5   H3K9me0K14ac0     866 non-null    float64\n",
+      " 6   H3K9me1K14ac0     866 non-null    float64\n",
+      " 7   H3K9me2K14ac0     865 non-null    float64\n",
+      " 8   H3K9me3K14ac0     864 non-null    float64\n",
+      " 9   H3K9ac1K14ac0     865 non-null    float64\n",
+      " 10  H3K9me0K14ac1     866 non-null    float64\n",
+      " 11  H3K9me1K14ac1     866 non-null    float64\n",
+      " 12  H3K9me2K14ac1     865 non-null    float64\n",
+      " 13  H3K9me3K14ac1     866 non-null    float64\n",
+      " 14  H3K9ac1K14ac1     866 non-null    float64\n",
+      " 15  H3K18ac0K23ac0    865 non-null    float64\n",
+      " 16  H3K18ac1K23ac0    866 non-null    float64\n",
+      " 17  H3K18ac0K23ac1    866 non-null    float64\n",
+      " 18  H3K18ac1K23ac1    866 non-null    float64\n",
+      " 19  H3K18ac0K23ub1    538 non-null    float64\n",
+      " 20  H3K27me0K36me0    866 non-null    float64\n",
+      " 21  H3K27me0K36me1    865 non-null    float64\n",
+      " 22  H3K27me0K36me2    865 non-null    float64\n",
+      " 23  H3K27me0K36me3    865 non-null    float64\n",
+      " 24  H3K27me1K36me0    865 non-null    float64\n",
+      " 25  H3K27me1K36me1    865 non-null    float64\n",
+      " 26  H3K27me1K36me2    866 non-null    float64\n",
+      " 27  H3K27me1K36me3    866 non-null    float64\n",
+      " 28  H3K27me2K36me0    865 non-null    float64\n",
+      " 29  H3K27me2K36me1    865 non-null    float64\n",
+      " 30  H3K27me2K36me2    866 non-null    float64\n",
+      " 31  H3K27me3K36me0    865 non-null    float64\n",
+      " 32  H3K27me3K36me1    865 non-null    float64\n",
+      " 33  H3K27ac1K36me0    858 non-null    float64\n",
+      " 34  H3K27ac1K36me1    825 non-null    float64\n",
+      " 35  H3K27ac1K36me2    855 non-null    float64\n",
+      " 36  H3K27ac1K36me3    861 non-null    float64\n",
+      " 37  H3.3K27me0K36me0  865 non-null    float64\n",
+      " 38  H3K56me0          866 non-null    float64\n",
+      " 39  H3K56me1          531 non-null    float64\n",
+      " 40  H3K79me0          866 non-null    float64\n",
+      " 41  H3K79me1          861 non-null    float64\n",
+      " 42  H3K79me2          860 non-null    float64\n",
+      "dtypes: float64(42), object(1)\n",
+      "memory usage: 291.0+ KB\n",
+      "\n",
+      "\n",
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "Int64Index: 863 entries, 0 to 862\n",
+      "Columns: 269 entries, CCL to H3K79me2\n",
+      "dtypes: float64(267), object(2)\n",
+      "memory usage: 1.8+ MB\n"
+     ]
+    }
+   ],
+   "source": [
+    "metabolites.info()\n",
+    "print('\\n')\n",
+    "hm.info()\n",
+    "print('\\n')\n",
+    "result.info()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 87,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
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+       "\n",
+       "    .dataframe tbody tr th {\n",
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+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>Adipate</th>\n",
+       "      <th>Alpha-ketoglutarate</th>\n",
+       "      <th>AMP</th>\n",
+       "      <th>Citrate</th>\n",
+       "      <th>...</th>\n",
+       "      <th>C56:8 TAG</th>\n",
+       "      <th>C56:7 TAG</th>\n",
+       "      <th>C56:6 TAG</th>\n",
+       "      <th>C56:5 TAG</th>\n",
+       "      <th>C56:4 TAG</th>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>6.112727</td>\n",
+       "      <td>6.034198</td>\n",
+       "      <td>5.896896</td>\n",
+       "      <td>6.000532</td>\n",
+       "      <td>5.513618</td>\n",
+       "      <td>5.868529</td>\n",
+       "      <td>5.977177</td>\n",
+       "      <td>5.693074</td>\n",
+       "      <td>5.923737</td>\n",
+       "      <td>5.641242</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.070239</td>\n",
+       "      <td>6.133433</td>\n",
+       "      <td>6.091089</td>\n",
+       "      <td>6.257711</td>\n",
+       "      <td>6.372732</td>\n",
+       "      <td>6.202511</td>\n",
+       "      <td>5.939576</td>\n",
+       "      <td>6.309821</td>\n",
+       "      <td>6.115974</td>\n",
+       "      <td>5.999436</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>5.577413</td>\n",
+       "      <td>5.727045</td>\n",
+       "      <td>5.111468</td>\n",
+       "      <td>6.073250</td>\n",
+       "      <td>5.802494</td>\n",
+       "      <td>5.824473</td>\n",
+       "      <td>5.888821</td>\n",
+       "      <td>5.768379</td>\n",
+       "      <td>5.760784</td>\n",
+       "      <td>5.914742</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.248653</td>\n",
+       "      <td>6.633575</td>\n",
+       "      <td>6.378052</td>\n",
+       "      <td>6.341043</td>\n",
+       "      <td>6.360945</td>\n",
+       "      <td>6.333540</td>\n",
+       "      <td>6.137271</td>\n",
+       "      <td>7.065858</td>\n",
+       "      <td>6.832174</td>\n",
+       "      <td>6.363064</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>5.886398</td>\n",
+       "      <td>5.574881</td>\n",
+       "      <td>5.541259</td>\n",
+       "      <td>5.848375</td>\n",
+       "      <td>5.665026</td>\n",
+       "      <td>5.875548</td>\n",
+       "      <td>5.894904</td>\n",
+       "      <td>5.839640</td>\n",
+       "      <td>5.742613</td>\n",
+       "      <td>5.570208</td>\n",
+       "      <td>...</td>\n",
+       "      <td>5.942887</td>\n",
+       "      <td>5.946988</td>\n",
+       "      <td>5.837980</td>\n",
+       "      <td>5.913350</td>\n",
+       "      <td>6.137530</td>\n",
+       "      <td>5.807546</td>\n",
+       "      <td>5.704149</td>\n",
+       "      <td>5.881193</td>\n",
+       "      <td>5.785208</td>\n",
+       "      <td>5.504225</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>5.770030</td>\n",
+       "      <td>6.099229</td>\n",
+       "      <td>6.233259</td>\n",
+       "      <td>5.543495</td>\n",
+       "      <td>5.767759</td>\n",
+       "      <td>6.155905</td>\n",
+       "      <td>6.111148</td>\n",
+       "      <td>5.949481</td>\n",
+       "      <td>6.342703</td>\n",
+       "      <td>6.054781</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.516922</td>\n",
+       "      <td>6.113791</td>\n",
+       "      <td>6.282113</td>\n",
+       "      <td>6.248667</td>\n",
+       "      <td>6.109480</td>\n",
+       "      <td>6.043570</td>\n",
+       "      <td>5.846802</td>\n",
+       "      <td>6.429402</td>\n",
+       "      <td>5.779815</td>\n",
+       "      <td>6.241530</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>5.480683</td>\n",
+       "      <td>5.469742</td>\n",
+       "      <td>6.509397</td>\n",
+       "      <td>6.251005</td>\n",
+       "      <td>5.190578</td>\n",
+       "      <td>5.897085</td>\n",
+       "      <td>6.148333</td>\n",
+       "      <td>5.607481</td>\n",
+       "      <td>5.871600</td>\n",
+       "      <td>5.128463</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.161981</td>\n",
+       "      <td>6.777932</td>\n",
+       "      <td>6.676390</td>\n",
+       "      <td>6.695659</td>\n",
+       "      <td>6.751029</td>\n",
+       "      <td>6.385056</td>\n",
+       "      <td>6.682612</td>\n",
+       "      <td>6.757899</td>\n",
+       "      <td>6.728570</td>\n",
+       "      <td>6.879260</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 225 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  4-pyridoxate  \\\n",
+       "0        6.112727            6.034198                5.896896      6.000532   \n",
+       "1        5.577413            5.727045                5.111468      6.073250   \n",
+       "2        5.886398            5.574881                5.541259      5.848375   \n",
+       "3        5.770030            6.099229                6.233259      5.543495   \n",
+       "4        5.480683            5.469742                6.509397      6.251005   \n",
+       "\n",
+       "   Aconitate   Adenine   Adipate  Alpha-ketoglutarate       AMP   Citrate  \\\n",
+       "0   5.513618  5.868529  5.977177             5.693074  5.923737  5.641242   \n",
+       "1   5.802494  5.824473  5.888821             5.768379  5.760784  5.914742   \n",
+       "2   5.665026  5.875548  5.894904             5.839640  5.742613  5.570208   \n",
+       "3   5.767759  6.155905  6.111148             5.949481  6.342703  6.054781   \n",
+       "4   5.190578  5.897085  6.148333             5.607481  5.871600  5.128463   \n",
+       "\n",
+       "   ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  C56:4 TAG  C56:3 TAG  \\\n",
+       "0  ...   6.070239   6.133433   6.091089   6.257711   6.372732   6.202511   \n",
+       "1  ...   6.248653   6.633575   6.378052   6.341043   6.360945   6.333540   \n",
+       "2  ...   5.942887   5.946988   5.837980   5.913350   6.137530   5.807546   \n",
+       "3  ...   6.516922   6.113791   6.282113   6.248667   6.109480   6.043570   \n",
+       "4  ...   6.161981   6.777932   6.676390   6.695659   6.751029   6.385056   \n",
+       "\n",
+       "   C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+       "0   5.939576   6.309821   6.115974   5.999436  \n",
+       "1   6.137271   7.065858   6.832174   6.363064  \n",
+       "2   5.704149   5.881193   5.785208   5.504225  \n",
+       "3   5.846802   6.429402   5.779815   6.241530  \n",
+       "4   6.682612   6.757899   6.728570   6.879260  \n",
+       "\n",
+       "[5 rows x 225 columns]"
+      ]
+     },
+     "execution_count": 87,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "left = result.iloc[:,1:226]\n",
+    "left.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 112,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>0.116020</td>\n",
+       "      <td>-0.153144</td>\n",
+       "      <td>-0.348607</td>\n",
+       "      <td>-1.417128</td>\n",
+       "      <td>-1.281177</td>\n",
+       "      <td>-0.719707</td>\n",
+       "      <td>-0.208080</td>\n",
+       "      <td>-0.033416</td>\n",
+       "      <td>-0.967821</td>\n",
+       "      <td>-1.150058</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.396178</td>\n",
+       "      <td>1.261963</td>\n",
+       "      <td>0.492776</td>\n",
+       "      <td>-0.211349</td>\n",
+       "      <td>-0.554973</td>\n",
+       "      <td>-0.222912</td>\n",
+       "      <td>-0.310910</td>\n",
+       "      <td>-0.272655</td>\n",
+       "      <td>0.271469</td>\n",
+       "      <td>0.469647</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>-0.058624</td>\n",
+       "      <td>0.219592</td>\n",
+       "      <td>0.110946</td>\n",
+       "      <td>-0.170282</td>\n",
+       "      <td>0.334630</td>\n",
+       "      <td>0.497303</td>\n",
+       "      <td>0.307907</td>\n",
+       "      <td>-0.466686</td>\n",
+       "      <td>0.062518</td>\n",
+       "      <td>-0.517698</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.198709</td>\n",
+       "      <td>-1.394997</td>\n",
+       "      <td>-1.123119</td>\n",
+       "      <td>-1.501911</td>\n",
+       "      <td>-0.180229</td>\n",
+       "      <td>-0.075173</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.051018</td>\n",
+       "      <td>0.099032</td>\n",
+       "      <td>0.169761</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>0.480909</td>\n",
+       "      <td>0.298440</td>\n",
+       "      <td>0.073777</td>\n",
+       "      <td>0.413953</td>\n",
+       "      <td>-0.479543</td>\n",
+       "      <td>0.133280</td>\n",
+       "      <td>0.053279</td>\n",
+       "      <td>-0.220467</td>\n",
+       "      <td>-0.427160</td>\n",
+       "      <td>0.215504</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.055683</td>\n",
+       "      <td>-0.659294</td>\n",
+       "      <td>0.114288</td>\n",
+       "      <td>-1.289012</td>\n",
+       "      <td>0.280396</td>\n",
+       "      <td>0.117564</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.185984</td>\n",
+       "      <td>0.191760</td>\n",
+       "      <td>-0.437561</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>-0.079957</td>\n",
+       "      <td>-0.617656</td>\n",
+       "      <td>-0.566702</td>\n",
+       "      <td>0.079932</td>\n",
+       "      <td>0.373140</td>\n",
+       "      <td>0.159682</td>\n",
+       "      <td>0.060946</td>\n",
+       "      <td>-0.181112</td>\n",
+       "      <td>0.208328</td>\n",
+       "      <td>0.182229</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1.098303</td>\n",
+       "      <td>0.381884</td>\n",
+       "      <td>0.258282</td>\n",
+       "      <td>0.751323</td>\n",
+       "      <td>0.031194</td>\n",
+       "      <td>-0.199316</td>\n",
+       "      <td>0.037929</td>\n",
+       "      <td>0.003978</td>\n",
+       "      <td>-0.225147</td>\n",
+       "      <td>-0.061445</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>-0.059965</td>\n",
+       "      <td>-0.063483</td>\n",
+       "      <td>-0.267980</td>\n",
+       "      <td>0.357422</td>\n",
+       "      <td>0.075651</td>\n",
+       "      <td>0.047830</td>\n",
+       "      <td>0.115243</td>\n",
+       "      <td>-0.498239</td>\n",
+       "      <td>-0.059567</td>\n",
+       "      <td>0.845077</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.185237</td>\n",
+       "      <td>0.239421</td>\n",
+       "      <td>0.358072</td>\n",
+       "      <td>-0.176527</td>\n",
+       "      <td>-0.351188</td>\n",
+       "      <td>0.037021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.045495</td>\n",
+       "      <td>-0.153684</td>\n",
+       "      <td>-0.106306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 42 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "    H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  H3K9me1K14ac0  \\\n",
+       "0  0.116020 -0.153144 -0.348607 -1.417128      -1.281177      -0.719707   \n",
+       "1 -0.058624  0.219592  0.110946 -0.170282       0.334630       0.497303   \n",
+       "2  0.480909  0.298440  0.073777  0.413953      -0.479543       0.133280   \n",
+       "3 -0.079957 -0.617656 -0.566702  0.079932       0.373140       0.159682   \n",
+       "4 -0.059965 -0.063483 -0.267980  0.357422       0.075651       0.047830   \n",
+       "\n",
+       "   H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  H3K9me0K14ac1  ...  \\\n",
+       "0      -0.208080      -0.033416      -0.967821      -1.150058  ...   \n",
+       "1       0.307907      -0.466686       0.062518      -0.517698  ...   \n",
+       "2       0.053279      -0.220467      -0.427160       0.215504  ...   \n",
+       "3       0.060946      -0.181112       0.208328       0.182229  ...   \n",
+       "4       0.115243      -0.498239      -0.059567       0.845077  ...   \n",
+       "\n",
+       "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "0        0.396178        1.261963        0.492776       -0.211349   \n",
+       "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+       "2        0.055683       -0.659294        0.114288       -1.289012   \n",
+       "3        1.098303        0.381884        0.258282        0.751323   \n",
+       "4       -0.185237        0.239421        0.358072       -0.176527   \n",
+       "\n",
+       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+       "\n",
+       "[5 rows x 42 columns]"
+      ]
+     },
+     "execution_count": 112,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "right = result.iloc[:,227:269]\n",
+    "right.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 107,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "                        2-aminoadipate  3-phosphoglycerate  \\\n",
+      "2-aminoadipate                1.000000            0.009742   \n",
+      "3-phosphoglycerate            0.009742            1.000000   \n",
+      "Alpha-glycerophosphate       -0.027005            0.005108   \n",
+      "4-pyridoxate                 -0.015531           -0.266691   \n",
+      "Aconitate                     0.119172            0.385037   \n",
+      "...                                ...                 ...   \n",
+      "H3K56me0                     -0.015090           -0.053514   \n",
+      "H3K56me1                      0.038496           -0.011799   \n",
+      "H3K79me0                      0.026004           -0.041461   \n",
+      "H3K79me1                      0.021895           -0.028518   \n",
+      "H3K79me2                      0.009092           -0.009319   \n",
+      "\n",
+      "                        Alpha-glycerophosphate  4-pyridoxate  Aconitate  \\\n",
+      "2-aminoadipate                       -0.027005     -0.015531   0.119172   \n",
+      "3-phosphoglycerate                    0.005108     -0.266691   0.385037   \n",
+      "Alpha-glycerophosphate                1.000000     -0.040588   0.168677   \n",
+      "4-pyridoxate                         -0.040588      1.000000  -0.266891   \n",
+      "Aconitate                             0.168677     -0.266891   1.000000   \n",
+      "...                                        ...           ...        ...   \n",
+      "H3K56me0                             -0.050834     -0.003100   0.005705   \n",
+      "H3K56me1                              0.081335      0.010450  -0.041541   \n",
+      "H3K79me0                             -0.069509      0.049615  -0.042933   \n",
+      "H3K79me1                             -0.054641      0.011765  -0.030498   \n",
+      "H3K79me2                             -0.010631      0.042426  -0.005861   \n",
+      "\n",
+      "                         Adenine   Adipate  Alpha-ketoglutarate       AMP  \\\n",
+      "2-aminoadipate         -0.030658  0.083013             0.104117 -0.161332   \n",
+      "3-phosphoglycerate     -0.054941 -0.256767             0.408922 -0.123345   \n",
+      "Alpha-glycerophosphate  0.158677 -0.110087             0.133762  0.455517   \n",
+      "4-pyridoxate            0.069204  0.295297            -0.190602  0.045089   \n",
+      "Aconitate              -0.150450 -0.276945             0.573266 -0.074807   \n",
+      "...                          ...       ...                  ...       ...   \n",
+      "H3K56me0               -0.019569 -0.040507             0.003741 -0.087760   \n",
+      "H3K56me1               -0.060719  0.013080             0.014591  0.000198   \n",
+      "H3K79me0               -0.008098  0.018268            -0.039120 -0.021996   \n",
+      "H3K79me1               -0.035233 -0.061506             0.008989 -0.079293   \n",
+      "H3K79me2               -0.033863 -0.032603             0.058298 -0.075058   \n",
+      "\n",
+      "                         Citrate  ...  H3K27ac1K36me0  H3K27ac1K36me1  \\\n",
+      "2-aminoadipate          0.042275  ...        0.005171        0.072125   \n",
+      "3-phosphoglycerate      0.357462  ...        0.078900        0.093404   \n",
+      "Alpha-glycerophosphate  0.157747  ...        0.093395        0.051769   \n",
+      "4-pyridoxate           -0.228018  ...       -0.017766       -0.020870   \n",
+      "Aconitate               0.859511  ...        0.009039        0.048717   \n",
+      "...                          ...  ...             ...             ...   \n",
+      "H3K56me0                0.039670  ...        0.120560        0.122739   \n",
+      "H3K56me1                0.010625  ...        0.082692        0.200012   \n",
+      "H3K79me0               -0.035872  ...        0.071300        0.060725   \n",
+      "H3K79me1               -0.021629  ...       -0.068888        0.010096   \n",
+      "H3K79me2                0.013075  ...       -0.029726        0.027888   \n",
+      "\n",
+      "                        H3K27ac1K36me2  H3K27ac1K36me3  H3.3K27me0K36me0  \\\n",
+      "2-aminoadipate                0.102133        0.040594         -0.047334   \n",
+      "3-phosphoglycerate            0.090150        0.026673          0.027275   \n",
+      "Alpha-glycerophosphate        0.050861        0.108437         -0.126376   \n",
+      "4-pyridoxate                 -0.003874        0.007819          0.004127   \n",
+      "Aconitate                     0.066045        0.035413         -0.009440   \n",
+      "...                                ...             ...               ...   \n",
+      "H3K56me0                      0.144350        0.141056          0.231307   \n",
+      "H3K56me1                      0.091122        0.197533          0.095579   \n",
+      "H3K79me0                      0.090169        0.075813          0.132846   \n",
+      "H3K79me1                      0.088241        0.119392          0.058123   \n",
+      "H3K79me2                      0.057008        0.166618         -0.009866   \n",
+      "\n",
+      "                        H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+      "2-aminoadipate         -0.015090  0.038496  0.026004  0.021895  0.009092  \n",
+      "3-phosphoglycerate     -0.053514 -0.011799 -0.041461 -0.028518 -0.009319  \n",
+      "Alpha-glycerophosphate -0.050834  0.081335 -0.069509 -0.054641 -0.010631  \n",
+      "4-pyridoxate           -0.003100  0.010450  0.049615  0.011765  0.042426  \n",
+      "Aconitate               0.005705 -0.041541 -0.042933 -0.030498 -0.005861  \n",
+      "...                          ...       ...       ...       ...       ...  \n",
+      "H3K56me0                1.000000  0.181804  0.456973  0.353138  0.185089  \n",
+      "H3K56me1                0.181804  1.000000  0.095565  0.136408  0.309591  \n",
+      "H3K79me0                0.456973  0.095565  1.000000  0.198831  0.049578  \n",
+      "H3K79me1                0.353138  0.136408  0.198831  1.000000  0.679642  \n",
+      "H3K79me2                0.185089  0.309591  0.049578  0.679642  1.000000  \n",
+      "\n",
+      "[267 rows x 267 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "correlation = result.corr(method ='pearson')\n",
+    "print (correlation)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 108,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "correlation.to_csv('corr.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 121,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr = pd.concat([left, right], axis=1, keys=['left', 'right']).corr().loc['left', 'right']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 122,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr.to_csv('corr.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 123,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr2 = pd.concat([metabolites, hm], axis=1, keys=['metabolites', 'hm']).corr().loc['metabolites', 'hm']\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 124,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr2.to_csv('corr2.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 125,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "Index: 225 entries, 2-aminoadipate to C58:6 TAG\n",
+      "Data columns (total 42 columns):\n",
+      " #   Column            Non-Null Count  Dtype  \n",
+      "---  ------            --------------  -----  \n",
+      " 0   H3K4me0           225 non-null    float64\n",
+      " 1   H3K4me1           225 non-null    float64\n",
+      " 2   H3K4me2           225 non-null    float64\n",
+      " 3   H3K4ac1           225 non-null    float64\n",
+      " 4   H3K9me0K14ac0     225 non-null    float64\n",
+      " 5   H3K9me1K14ac0     225 non-null    float64\n",
+      " 6   H3K9me2K14ac0     225 non-null    float64\n",
+      " 7   H3K9me3K14ac0     225 non-null    float64\n",
+      " 8   H3K9ac1K14ac0     225 non-null    float64\n",
+      " 9   H3K9me0K14ac1     225 non-null    float64\n",
+      " 10  H3K9me1K14ac1     225 non-null    float64\n",
+      " 11  H3K9me2K14ac1     225 non-null    float64\n",
+      " 12  H3K9me3K14ac1     225 non-null    float64\n",
+      " 13  H3K9ac1K14ac1     225 non-null    float64\n",
+      " 14  H3K18ac0K23ac0    225 non-null    float64\n",
+      " 15  H3K18ac1K23ac0    225 non-null    float64\n",
+      " 16  H3K18ac0K23ac1    225 non-null    float64\n",
+      " 17  H3K18ac1K23ac1    225 non-null    float64\n",
+      " 18  H3K18ac0K23ub1    225 non-null    float64\n",
+      " 19  H3K27me0K36me0    225 non-null    float64\n",
+      " 20  H3K27me0K36me1    225 non-null    float64\n",
+      " 21  H3K27me0K36me2    225 non-null    float64\n",
+      " 22  H3K27me0K36me3    225 non-null    float64\n",
+      " 23  H3K27me1K36me0    225 non-null    float64\n",
+      " 24  H3K27me1K36me1    225 non-null    float64\n",
+      " 25  H3K27me1K36me2    225 non-null    float64\n",
+      " 26  H3K27me1K36me3    225 non-null    float64\n",
+      " 27  H3K27me2K36me0    225 non-null    float64\n",
+      " 28  H3K27me2K36me1    225 non-null    float64\n",
+      " 29  H3K27me2K36me2    225 non-null    float64\n",
+      " 30  H3K27me3K36me0    225 non-null    float64\n",
+      " 31  H3K27me3K36me1    225 non-null    float64\n",
+      " 32  H3K27ac1K36me0    225 non-null    float64\n",
+      " 33  H3K27ac1K36me1    225 non-null    float64\n",
+      " 34  H3K27ac1K36me2    225 non-null    float64\n",
+      " 35  H3K27ac1K36me3    225 non-null    float64\n",
+      " 36  H3.3K27me0K36me0  225 non-null    float64\n",
+      " 37  H3K56me0          225 non-null    float64\n",
+      " 38  H3K56me1          225 non-null    float64\n",
+      " 39  H3K79me0          225 non-null    float64\n",
+      " 40  H3K79me1          225 non-null    float64\n",
+      " 41  H3K79me2          225 non-null    float64\n",
+      "dtypes: float64(42)\n",
+      "memory usage: 75.6+ KB\n"
+     ]
+    }
+   ],
+   "source": [
+    "corr2.info()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 126,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "Index: 225 entries, 2-aminoadipate to C58:6 TAG\n",
+      "Data columns (total 42 columns):\n",
+      " #   Column            Non-Null Count  Dtype  \n",
+      "---  ------            --------------  -----  \n",
+      " 0   H3K4me0           225 non-null    float64\n",
+      " 1   H3K4me1           225 non-null    float64\n",
+      " 2   H3K4me2           225 non-null    float64\n",
+      " 3   H3K4ac1           225 non-null    float64\n",
+      " 4   H3K9me0K14ac0     225 non-null    float64\n",
+      " 5   H3K9me1K14ac0     225 non-null    float64\n",
+      " 6   H3K9me2K14ac0     225 non-null    float64\n",
+      " 7   H3K9me3K14ac0     225 non-null    float64\n",
+      " 8   H3K9ac1K14ac0     225 non-null    float64\n",
+      " 9   H3K9me0K14ac1     225 non-null    float64\n",
+      " 10  H3K9me1K14ac1     225 non-null    float64\n",
+      " 11  H3K9me2K14ac1     225 non-null    float64\n",
+      " 12  H3K9me3K14ac1     225 non-null    float64\n",
+      " 13  H3K9ac1K14ac1     225 non-null    float64\n",
+      " 14  H3K18ac0K23ac0    225 non-null    float64\n",
+      " 15  H3K18ac1K23ac0    225 non-null    float64\n",
+      " 16  H3K18ac0K23ac1    225 non-null    float64\n",
+      " 17  H3K18ac1K23ac1    225 non-null    float64\n",
+      " 18  H3K18ac0K23ub1    225 non-null    float64\n",
+      " 19  H3K27me0K36me0    225 non-null    float64\n",
+      " 20  H3K27me0K36me1    225 non-null    float64\n",
+      " 21  H3K27me0K36me2    225 non-null    float64\n",
+      " 22  H3K27me0K36me3    225 non-null    float64\n",
+      " 23  H3K27me1K36me0    225 non-null    float64\n",
+      " 24  H3K27me1K36me1    225 non-null    float64\n",
+      " 25  H3K27me1K36me2    225 non-null    float64\n",
+      " 26  H3K27me1K36me3    225 non-null    float64\n",
+      " 27  H3K27me2K36me0    225 non-null    float64\n",
+      " 28  H3K27me2K36me1    225 non-null    float64\n",
+      " 29  H3K27me2K36me2    225 non-null    float64\n",
+      " 30  H3K27me3K36me0    225 non-null    float64\n",
+      " 31  H3K27me3K36me1    225 non-null    float64\n",
+      " 32  H3K27ac1K36me0    225 non-null    float64\n",
+      " 33  H3K27ac1K36me1    225 non-null    float64\n",
+      " 34  H3K27ac1K36me2    225 non-null    float64\n",
+      " 35  H3K27ac1K36me3    225 non-null    float64\n",
+      " 36  H3.3K27me0K36me0  225 non-null    float64\n",
+      " 37  H3K56me0          225 non-null    float64\n",
+      " 38  H3K56me1          225 non-null    float64\n",
+      " 39  H3K79me0          225 non-null    float64\n",
+      " 40  H3K79me1          225 non-null    float64\n",
+      " 41  H3K79me2          225 non-null    float64\n",
+      "dtypes: float64(42)\n",
+      "memory usage: 75.6+ KB\n"
+     ]
+    }
+   ],
+   "source": [
+    "corr.info()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}

From 4cc953d3e5c8fae38822c39969124a95e29ea553 Mon Sep 17 00:00:00 2001
From: ScottCampit <scampit@umich.edu>
Date: Mon, 28 Sep 2020 17:19:20 -0400
Subject: [PATCH 02/18] Scott's edits to the correlation notebook, now renamed
 as MET2GCP_CORR.ipynb

---
 ...ion code.ipynb copy => MET2GCP_CORR.ipynb} | 124 ++++++++++++++++--
 1 file changed, 112 insertions(+), 12 deletions(-)
 rename src/python/EDA/{Correlation code.ipynb copy => MET2GCP_CORR.ipynb} (95%)

diff --git a/src/python/EDA/Correlation code.ipynb copy b/src/python/EDA/MET2GCP_CORR.ipynb
similarity index 95%
rename from src/python/EDA/Correlation code.ipynb copy
rename to src/python/EDA/MET2GCP_CORR.ipynb
index e3a834e..9fb17ca 100644
--- a/src/python/EDA/Correlation code.ipynb copy	
+++ b/src/python/EDA/MET2GCP_CORR.ipynb
@@ -1,5 +1,34 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2020-09-28T21:11:08.781758Z",
+     "start_time": "2020-09-28T21:11:08.778280Z"
+    }
+   },
+   "source": [
+    "# Chromatin Profile and Metabolomics Correlation\n",
+    "**Author**: Rachael Jin"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Summary\n",
+    "This notebook computes the Pearson correlation coefficient and p-value between each histone marker and metabolite pair for 800+ cancer cell lines."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Import data\n",
+    "First, we'll read in the metabolomics and chromatin profile data, which are saved as Excel workbooks."
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 72,
@@ -290,7 +319,6 @@
     }
    ],
    "source": [
-    "\n",
     "metabolites = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
     "print('\\n\\nmd after deleting column\\n--------------')\n",
     "print(metabolites)"
@@ -515,6 +543,14 @@
     "hm.head()\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Merge datasets based on unique cancer cell line name\n",
+    "Next, we'll concatenate the two dataframes and match based on cancer cell lines."
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 77,
@@ -729,7 +765,7 @@
    ],
    "source": [
     "result = metabolites.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
-    "result.head()\n"
+    "result.head()"
    ]
   },
   {
@@ -816,6 +852,14 @@
     "result.info()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Separate dataframes \n",
+    "Now that the data is matched by cell lines, we can separate the dataframes again."
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 87,
@@ -1252,6 +1296,14 @@
     "right.head()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Compute pearson correlation coefficient and pvalue\n",
+    "Finally, we'll compute the correlation coefficients between metabolites and histone markers. Note that we're also computing metabolite-metabolite and histone-histone correlations. While those are interesting as well, we'll ignore those for downstream analyses.\n"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 107,
@@ -1537,17 +1589,65 @@
    "language": "python",
    "name": "python3"
   },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
+  "latex_envs": {
+   "LaTeX_envs_menu_present": true,
+   "autoclose": false,
+   "autocomplete": true,
+   "bibliofile": "biblio.bib",
+   "cite_by": "apalike",
+   "current_citInitial": 1,
+   "eqLabelWithNumbers": true,
+   "eqNumInitial": 1,
+   "hotkeys": {
+    "equation": "Ctrl-E",
+    "itemize": "Ctrl-I"
    },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.8.3"
+   "labels_anchors": false,
+   "latex_user_defs": false,
+   "report_style_numbering": false,
+   "user_envs_cfg": false
+  },
+  "toc": {
+   "base_numbering": 1,
+   "nav_menu": {},
+   "number_sections": true,
+   "sideBar": true,
+   "skip_h1_title": false,
+   "title_cell": "Table of Contents",
+   "title_sidebar": "Contents",
+   "toc_cell": false,
+   "toc_position": {},
+   "toc_section_display": true,
+   "toc_window_display": false
+  },
+  "varInspector": {
+   "cols": {
+    "lenName": 16,
+    "lenType": 16,
+    "lenVar": 40
+   },
+   "kernels_config": {
+    "python": {
+     "delete_cmd_postfix": "",
+     "delete_cmd_prefix": "del ",
+     "library": "var_list.py",
+     "varRefreshCmd": "print(var_dic_list())"
+    },
+    "r": {
+     "delete_cmd_postfix": ") ",
+     "delete_cmd_prefix": "rm(",
+     "library": "var_list.r",
+     "varRefreshCmd": "cat(var_dic_list()) "
+    }
+   },
+   "types_to_exclude": [
+    "module",
+    "function",
+    "builtin_function_or_method",
+    "instance",
+    "_Feature"
+   ],
+   "window_display": false
   }
  },
  "nbformat": 4,

From 344df4d8862c7349476e1364b76557a29a0e517f Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Sat, 3 Oct 2020 20:23:34 -0400
Subject: [PATCH 03/18] add pvalues

---
 src/python/EDA/metabolite_hm_corr_p.ipynb | 2402 +++++++++++++++++++++
 1 file changed, 2402 insertions(+)
 create mode 100644 src/python/EDA/metabolite_hm_corr_p.ipynb

diff --git a/src/python/EDA/metabolite_hm_corr_p.ipynb b/src/python/EDA/metabolite_hm_corr_p.ipynb
new file mode 100644
index 0000000..b25351c
--- /dev/null
+++ b/src/python/EDA/metabolite_hm_corr_p.ipynb
@@ -0,0 +1,2402 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>CCL</th>\n",
+       "      <th>Tissue</th>\n",
+       "      <th>Medium</th>\n",
+       "      <th>Culture</th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>...</th>\n",
+       "      <th>C56:8 TAG</th>\n",
+       "      <th>C56:7 TAG</th>\n",
+       "      <th>C56:6 TAG</th>\n",
+       "      <th>C56:5 TAG</th>\n",
+       "      <th>C56:4 TAG</th>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>DMS53</td>\n",
+       "      <td>LUNG</td>\n",
+       "      <td>Waymouth</td>\n",
+       "      <td>Adherent</td>\n",
+       "      <td>6.112727</td>\n",
+       "      <td>6.034198</td>\n",
+       "      <td>5.896896</td>\n",
+       "      <td>6.000532</td>\n",
+       "      <td>5.513618</td>\n",
+       "      <td>5.868529</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.070239</td>\n",
+       "      <td>6.133433</td>\n",
+       "      <td>6.091089</td>\n",
+       "      <td>6.257711</td>\n",
+       "      <td>6.372732</td>\n",
+       "      <td>6.202511</td>\n",
+       "      <td>5.939576</td>\n",
+       "      <td>6.309821</td>\n",
+       "      <td>6.115974</td>\n",
+       "      <td>5.999436</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>SW1116</td>\n",
+       "      <td>LARGE INTESTINE</td>\n",
+       "      <td>L15</td>\n",
+       "      <td>Adherent</td>\n",
+       "      <td>5.577413</td>\n",
+       "      <td>5.727045</td>\n",
+       "      <td>5.111468</td>\n",
+       "      <td>6.073250</td>\n",
+       "      <td>5.802494</td>\n",
+       "      <td>5.824473</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.248653</td>\n",
+       "      <td>6.633575</td>\n",
+       "      <td>6.378052</td>\n",
+       "      <td>6.341043</td>\n",
+       "      <td>6.360945</td>\n",
+       "      <td>6.333540</td>\n",
+       "      <td>6.137271</td>\n",
+       "      <td>7.065858</td>\n",
+       "      <td>6.832174</td>\n",
+       "      <td>6.363064</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>NCIH1694</td>\n",
+       "      <td>LUNG</td>\n",
+       "      <td>DMEM-F12 wGln</td>\n",
+       "      <td>Suspension</td>\n",
+       "      <td>5.886398</td>\n",
+       "      <td>5.574881</td>\n",
+       "      <td>5.541259</td>\n",
+       "      <td>5.848375</td>\n",
+       "      <td>5.665026</td>\n",
+       "      <td>5.875548</td>\n",
+       "      <td>...</td>\n",
+       "      <td>5.942887</td>\n",
+       "      <td>5.946988</td>\n",
+       "      <td>5.837980</td>\n",
+       "      <td>5.913350</td>\n",
+       "      <td>6.137530</td>\n",
+       "      <td>5.807546</td>\n",
+       "      <td>5.704149</td>\n",
+       "      <td>5.881193</td>\n",
+       "      <td>5.785208</td>\n",
+       "      <td>5.504225</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>P3HR1</td>\n",
+       "      <td>HAEMATOPOIETIC AND LYMPHOID TISSUE</td>\n",
+       "      <td>RPMI</td>\n",
+       "      <td>Empty</td>\n",
+       "      <td>5.770030</td>\n",
+       "      <td>6.099229</td>\n",
+       "      <td>6.233259</td>\n",
+       "      <td>5.543495</td>\n",
+       "      <td>5.767759</td>\n",
+       "      <td>6.155905</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.516922</td>\n",
+       "      <td>6.113791</td>\n",
+       "      <td>6.282113</td>\n",
+       "      <td>6.248667</td>\n",
+       "      <td>6.109480</td>\n",
+       "      <td>6.043570</td>\n",
+       "      <td>5.846802</td>\n",
+       "      <td>6.429402</td>\n",
+       "      <td>5.779815</td>\n",
+       "      <td>6.241530</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>HUT78</td>\n",
+       "      <td>HAEMATOPOIETIC AND LYMPHOID TISSUE</td>\n",
+       "      <td>RPMI</td>\n",
+       "      <td>Empty</td>\n",
+       "      <td>5.480683</td>\n",
+       "      <td>5.469742</td>\n",
+       "      <td>6.509397</td>\n",
+       "      <td>6.251005</td>\n",
+       "      <td>5.190578</td>\n",
+       "      <td>5.897085</td>\n",
+       "      <td>...</td>\n",
+       "      <td>6.161981</td>\n",
+       "      <td>6.777932</td>\n",
+       "      <td>6.676390</td>\n",
+       "      <td>6.695659</td>\n",
+       "      <td>6.751029</td>\n",
+       "      <td>6.385056</td>\n",
+       "      <td>6.682612</td>\n",
+       "      <td>6.757899</td>\n",
+       "      <td>6.728570</td>\n",
+       "      <td>6.879260</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 229 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "        CCL                              Tissue         Medium     Culture  \\\n",
+       "0     DMS53                                LUNG       Waymouth    Adherent   \n",
+       "1    SW1116                     LARGE INTESTINE            L15    Adherent   \n",
+       "2  NCIH1694                                LUNG  DMEM-F12 wGln  Suspension   \n",
+       "3     P3HR1  HAEMATOPOIETIC AND LYMPHOID TISSUE           RPMI       Empty   \n",
+       "4     HUT78  HAEMATOPOIETIC AND LYMPHOID TISSUE           RPMI       Empty   \n",
+       "\n",
+       "   2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  4-pyridoxate  \\\n",
+       "0        6.112727            6.034198                5.896896      6.000532   \n",
+       "1        5.577413            5.727045                5.111468      6.073250   \n",
+       "2        5.886398            5.574881                5.541259      5.848375   \n",
+       "3        5.770030            6.099229                6.233259      5.543495   \n",
+       "4        5.480683            5.469742                6.509397      6.251005   \n",
+       "\n",
+       "   Aconitate   Adenine  ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  \\\n",
+       "0   5.513618  5.868529  ...   6.070239   6.133433   6.091089   6.257711   \n",
+       "1   5.802494  5.824473  ...   6.248653   6.633575   6.378052   6.341043   \n",
+       "2   5.665026  5.875548  ...   5.942887   5.946988   5.837980   5.913350   \n",
+       "3   5.767759  6.155905  ...   6.516922   6.113791   6.282113   6.248667   \n",
+       "4   5.190578  5.897085  ...   6.161981   6.777932   6.676390   6.695659   \n",
+       "\n",
+       "   C56:4 TAG  C56:3 TAG  C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+       "0   6.372732   6.202511   5.939576   6.309821   6.115974   5.999436  \n",
+       "1   6.360945   6.333540   6.137271   7.065858   6.832174   6.363064  \n",
+       "2   6.137530   5.807546   5.704149   5.881193   5.785208   5.504225  \n",
+       "3   6.109480   6.043570   5.846802   6.429402   5.779815   6.241530  \n",
+       "4   6.751029   6.385056   6.682612   6.757899   6.728570   6.879260  \n",
+       "\n",
+       "[5 rows x 229 columns]"
+      ]
+     },
+     "execution_count": 1,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import scipy.stats\n",
+    "from scipy.stats import kendalltau, pearsonr, spearmanr\n",
+    "from scipy import stats\n",
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "md.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "\n",
+      "md after deleting column\n",
+      "--------------\n",
+      "          CCL  2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  \\\n",
+      "0       DMS53        6.112727            6.034198                5.896896   \n",
+      "1      SW1116        5.577413            5.727045                5.111468   \n",
+      "2    NCIH1694        5.886398            5.574881                5.541259   \n",
+      "3       P3HR1        5.770030            6.099229                6.233259   \n",
+      "4       HUT78        5.480683            5.469742                6.509397   \n",
+      "..        ...             ...                 ...                     ...   \n",
+      "917     SF268        5.977636            6.026483                6.480536   \n",
+      "918     SF539        5.957233            6.090834                5.323475   \n",
+      "919     SNB75        5.967707            5.931487                5.620542   \n",
+      "920     HOP92        5.962415            5.992640                6.296222   \n",
+      "921     MUTZ3        6.332344            5.812531                5.446330   \n",
+      "\n",
+      "     4-pyridoxate  Aconitate   Adenine   Adipate  Alpha-ketoglutarate  \\\n",
+      "0        6.000532   5.513618  5.868529  5.977177             5.693074   \n",
+      "1        6.073250   5.802494  5.824473  5.888821             5.768379   \n",
+      "2        5.848375   5.665026  5.875548  5.894904             5.839640   \n",
+      "3        5.543495   5.767759  6.155905  6.111148             5.949481   \n",
+      "4        6.251005   5.190578  5.897085  6.148333             5.607481   \n",
+      "..            ...        ...       ...       ...                  ...   \n",
+      "917      6.112056   5.878324  5.732508  5.981183             6.459139   \n",
+      "918      6.145795   5.741201  5.605435  6.184192             6.004195   \n",
+      "919      5.955261   5.935244  5.384674  5.955886             6.239657   \n",
+      "920      5.916386   6.043984  5.883976  5.954731             6.181054   \n",
+      "921      6.469052   5.501232  6.469954  6.136017             5.479015   \n",
+      "\n",
+      "          AMP  ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  C56:4 TAG  \\\n",
+      "0    5.923737  ...   6.070239   6.133433   6.091089   6.257711   6.372732   \n",
+      "1    5.760784  ...   6.248653   6.633575   6.378052   6.341043   6.360945   \n",
+      "2    5.742613  ...   5.942887   5.946988   5.837980   5.913350   6.137530   \n",
+      "3    6.342703  ...   6.516922   6.113791   6.282113   6.248667   6.109480   \n",
+      "4    5.871600  ...   6.161981   6.777932   6.676390   6.695659   6.751029   \n",
+      "..        ...  ...        ...        ...        ...        ...        ...   \n",
+      "917  5.642855  ...   5.547818   5.703861   5.581725   5.506887   5.362247   \n",
+      "918  5.663866  ...   5.713210   5.651439   5.720680   5.387960   5.275798   \n",
+      "919  5.527619  ...   5.605403   5.317500   5.630315   5.433324   5.330957   \n",
+      "920  5.820966  ...   5.949798   6.249271   6.248746   6.130000   5.873297   \n",
+      "921  5.694210  ...   6.588558   6.548211   6.667652   6.868391   6.598519   \n",
+      "\n",
+      "     C56:3 TAG  C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+      "0     6.202511   5.939576   6.309821   6.115974   5.999436  \n",
+      "1     6.333540   6.137271   7.065858   6.832174   6.363064  \n",
+      "2     5.807546   5.704149   5.881193   5.785208   5.504225  \n",
+      "3     6.043570   5.846802   6.429402   5.779815   6.241530  \n",
+      "4     6.385056   6.682612   6.757899   6.728570   6.879260  \n",
+      "..         ...        ...        ...        ...        ...  \n",
+      "917   5.322091   5.556126   5.544802   4.897559   5.506999  \n",
+      "918   5.289684   5.494241   5.533795   5.139488   5.452544  \n",
+      "919   5.481404   5.570553   5.146598   5.010639   5.114385  \n",
+      "920   5.826041   5.997694   6.411166   6.105394   6.387275  \n",
+      "921   5.956474   6.022471   6.862916   7.045115   6.841075  \n",
+      "\n",
+      "[922 rows x 226 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "metabolites = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "print('\\n\\nmd after deleting column\\n--------------')\n",
+    "print(metabolites)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Cell Line</th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>DMS53</td>\n",
+       "      <td>0.116020</td>\n",
+       "      <td>-0.153144</td>\n",
+       "      <td>-0.348607</td>\n",
+       "      <td>-1.417128</td>\n",
+       "      <td>-1.281177</td>\n",
+       "      <td>-0.719707</td>\n",
+       "      <td>-0.208080</td>\n",
+       "      <td>-0.033416</td>\n",
+       "      <td>-0.967821</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.396178</td>\n",
+       "      <td>1.261963</td>\n",
+       "      <td>0.492776</td>\n",
+       "      <td>-0.211349</td>\n",
+       "      <td>-0.554973</td>\n",
+       "      <td>-0.222912</td>\n",
+       "      <td>-0.310910</td>\n",
+       "      <td>-0.272655</td>\n",
+       "      <td>0.271469</td>\n",
+       "      <td>0.469647</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>SW1116</td>\n",
+       "      <td>-0.058624</td>\n",
+       "      <td>0.219592</td>\n",
+       "      <td>0.110946</td>\n",
+       "      <td>-0.170282</td>\n",
+       "      <td>0.334630</td>\n",
+       "      <td>0.497303</td>\n",
+       "      <td>0.307907</td>\n",
+       "      <td>-0.466686</td>\n",
+       "      <td>0.062518</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.198709</td>\n",
+       "      <td>-1.394997</td>\n",
+       "      <td>-1.123119</td>\n",
+       "      <td>-1.501911</td>\n",
+       "      <td>-0.180229</td>\n",
+       "      <td>-0.075173</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.051018</td>\n",
+       "      <td>0.099032</td>\n",
+       "      <td>0.169761</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>NCIH1694</td>\n",
+       "      <td>0.480909</td>\n",
+       "      <td>0.298440</td>\n",
+       "      <td>0.073777</td>\n",
+       "      <td>0.413953</td>\n",
+       "      <td>-0.479543</td>\n",
+       "      <td>0.133280</td>\n",
+       "      <td>0.053279</td>\n",
+       "      <td>-0.220467</td>\n",
+       "      <td>-0.427160</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.055683</td>\n",
+       "      <td>-0.659294</td>\n",
+       "      <td>0.114288</td>\n",
+       "      <td>-1.289012</td>\n",
+       "      <td>0.280396</td>\n",
+       "      <td>0.117564</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.185984</td>\n",
+       "      <td>0.191760</td>\n",
+       "      <td>-0.437561</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>P3HR1</td>\n",
+       "      <td>-0.079957</td>\n",
+       "      <td>-0.617656</td>\n",
+       "      <td>-0.566702</td>\n",
+       "      <td>0.079932</td>\n",
+       "      <td>0.373140</td>\n",
+       "      <td>0.159682</td>\n",
+       "      <td>0.060946</td>\n",
+       "      <td>-0.181112</td>\n",
+       "      <td>0.208328</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1.098303</td>\n",
+       "      <td>0.381884</td>\n",
+       "      <td>0.258282</td>\n",
+       "      <td>0.751323</td>\n",
+       "      <td>0.031194</td>\n",
+       "      <td>-0.199316</td>\n",
+       "      <td>0.037929</td>\n",
+       "      <td>0.003978</td>\n",
+       "      <td>-0.225147</td>\n",
+       "      <td>-0.061445</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>HUT78</td>\n",
+       "      <td>-0.059965</td>\n",
+       "      <td>-0.063483</td>\n",
+       "      <td>-0.267980</td>\n",
+       "      <td>0.357422</td>\n",
+       "      <td>0.075651</td>\n",
+       "      <td>0.047830</td>\n",
+       "      <td>0.115243</td>\n",
+       "      <td>-0.498239</td>\n",
+       "      <td>-0.059567</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.185237</td>\n",
+       "      <td>0.239421</td>\n",
+       "      <td>0.358072</td>\n",
+       "      <td>-0.176527</td>\n",
+       "      <td>-0.351188</td>\n",
+       "      <td>0.037021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.045495</td>\n",
+       "      <td>-0.153684</td>\n",
+       "      <td>-0.106306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 43 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "  Cell Line   H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  \\\n",
+       "0     DMS53  0.116020 -0.153144 -0.348607 -1.417128      -1.281177   \n",
+       "1    SW1116 -0.058624  0.219592  0.110946 -0.170282       0.334630   \n",
+       "2  NCIH1694  0.480909  0.298440  0.073777  0.413953      -0.479543   \n",
+       "3     P3HR1 -0.079957 -0.617656 -0.566702  0.079932       0.373140   \n",
+       "4     HUT78 -0.059965 -0.063483 -0.267980  0.357422       0.075651   \n",
+       "\n",
+       "   H3K9me1K14ac0  H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  ...  \\\n",
+       "0      -0.719707      -0.208080      -0.033416      -0.967821  ...   \n",
+       "1       0.497303       0.307907      -0.466686       0.062518  ...   \n",
+       "2       0.133280       0.053279      -0.220467      -0.427160  ...   \n",
+       "3       0.159682       0.060946      -0.181112       0.208328  ...   \n",
+       "4       0.047830       0.115243      -0.498239      -0.059567  ...   \n",
+       "\n",
+       "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "0        0.396178        1.261963        0.492776       -0.211349   \n",
+       "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+       "2        0.055683       -0.659294        0.114288       -1.289012   \n",
+       "3        1.098303        0.381884        0.258282        0.751323   \n",
+       "4       -0.185237        0.239421        0.358072       -0.176527   \n",
+       "\n",
+       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+       "\n",
+       "[5 rows x 43 columns]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "hm.head()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>CCL</th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>Adipate</th>\n",
+       "      <th>Alpha-ketoglutarate</th>\n",
+       "      <th>AMP</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>DMS53</td>\n",
+       "      <td>6.112727</td>\n",
+       "      <td>6.034198</td>\n",
+       "      <td>5.896896</td>\n",
+       "      <td>6.000532</td>\n",
+       "      <td>5.513618</td>\n",
+       "      <td>5.868529</td>\n",
+       "      <td>5.977177</td>\n",
+       "      <td>5.693074</td>\n",
+       "      <td>5.923737</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.396178</td>\n",
+       "      <td>1.261963</td>\n",
+       "      <td>0.492776</td>\n",
+       "      <td>-0.211349</td>\n",
+       "      <td>-0.554973</td>\n",
+       "      <td>-0.222912</td>\n",
+       "      <td>-0.310910</td>\n",
+       "      <td>-0.272655</td>\n",
+       "      <td>0.271469</td>\n",
+       "      <td>0.469647</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>SW1116</td>\n",
+       "      <td>5.577413</td>\n",
+       "      <td>5.727045</td>\n",
+       "      <td>5.111468</td>\n",
+       "      <td>6.073250</td>\n",
+       "      <td>5.802494</td>\n",
+       "      <td>5.824473</td>\n",
+       "      <td>5.888821</td>\n",
+       "      <td>5.768379</td>\n",
+       "      <td>5.760784</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.198709</td>\n",
+       "      <td>-1.394997</td>\n",
+       "      <td>-1.123119</td>\n",
+       "      <td>-1.501911</td>\n",
+       "      <td>-0.180229</td>\n",
+       "      <td>-0.075173</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.051018</td>\n",
+       "      <td>0.099032</td>\n",
+       "      <td>0.169761</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>NCIH1694</td>\n",
+       "      <td>5.886398</td>\n",
+       "      <td>5.574881</td>\n",
+       "      <td>5.541259</td>\n",
+       "      <td>5.848375</td>\n",
+       "      <td>5.665026</td>\n",
+       "      <td>5.875548</td>\n",
+       "      <td>5.894904</td>\n",
+       "      <td>5.839640</td>\n",
+       "      <td>5.742613</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.055683</td>\n",
+       "      <td>-0.659294</td>\n",
+       "      <td>0.114288</td>\n",
+       "      <td>-1.289012</td>\n",
+       "      <td>0.280396</td>\n",
+       "      <td>0.117564</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.185984</td>\n",
+       "      <td>0.191760</td>\n",
+       "      <td>-0.437561</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>P3HR1</td>\n",
+       "      <td>5.770030</td>\n",
+       "      <td>6.099229</td>\n",
+       "      <td>6.233259</td>\n",
+       "      <td>5.543495</td>\n",
+       "      <td>5.767759</td>\n",
+       "      <td>6.155905</td>\n",
+       "      <td>6.111148</td>\n",
+       "      <td>5.949481</td>\n",
+       "      <td>6.342703</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1.098303</td>\n",
+       "      <td>0.381884</td>\n",
+       "      <td>0.258282</td>\n",
+       "      <td>0.751323</td>\n",
+       "      <td>0.031194</td>\n",
+       "      <td>-0.199316</td>\n",
+       "      <td>0.037929</td>\n",
+       "      <td>0.003978</td>\n",
+       "      <td>-0.225147</td>\n",
+       "      <td>-0.061445</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>HUT78</td>\n",
+       "      <td>5.480683</td>\n",
+       "      <td>5.469742</td>\n",
+       "      <td>6.509397</td>\n",
+       "      <td>6.251005</td>\n",
+       "      <td>5.190578</td>\n",
+       "      <td>5.897085</td>\n",
+       "      <td>6.148333</td>\n",
+       "      <td>5.607481</td>\n",
+       "      <td>5.871600</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.185237</td>\n",
+       "      <td>0.239421</td>\n",
+       "      <td>0.358072</td>\n",
+       "      <td>-0.176527</td>\n",
+       "      <td>-0.351188</td>\n",
+       "      <td>0.037021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.045495</td>\n",
+       "      <td>-0.153684</td>\n",
+       "      <td>-0.106306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 269 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "        CCL  2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  \\\n",
+       "0     DMS53        6.112727            6.034198                5.896896   \n",
+       "1    SW1116        5.577413            5.727045                5.111468   \n",
+       "2  NCIH1694        5.886398            5.574881                5.541259   \n",
+       "3     P3HR1        5.770030            6.099229                6.233259   \n",
+       "4     HUT78        5.480683            5.469742                6.509397   \n",
+       "\n",
+       "   4-pyridoxate  Aconitate   Adenine   Adipate  Alpha-ketoglutarate       AMP  \\\n",
+       "0      6.000532   5.513618  5.868529  5.977177             5.693074  5.923737   \n",
+       "1      6.073250   5.802494  5.824473  5.888821             5.768379  5.760784   \n",
+       "2      5.848375   5.665026  5.875548  5.894904             5.839640  5.742613   \n",
+       "3      5.543495   5.767759  6.155905  6.111148             5.949481  6.342703   \n",
+       "4      6.251005   5.190578  5.897085  6.148333             5.607481  5.871600   \n",
+       "\n",
+       "   ...  H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "0  ...        0.396178        1.261963        0.492776       -0.211349   \n",
+       "1  ...       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+       "2  ...        0.055683       -0.659294        0.114288       -1.289012   \n",
+       "3  ...        1.098303        0.381884        0.258282        0.751323   \n",
+       "4  ...       -0.185237        0.239421        0.358072       -0.176527   \n",
+       "\n",
+       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+       "\n",
+       "[5 rows x 269 columns]"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "result = metabolites.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "result.head()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "RangeIndex: 922 entries, 0 to 921\n",
+      "Columns: 226 entries, CCL to C58:6 TAG\n",
+      "dtypes: float64(225), object(1)\n",
+      "memory usage: 1.6+ MB\n",
+      "\n",
+      "\n",
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "RangeIndex: 866 entries, 0 to 865\n",
+      "Data columns (total 43 columns):\n",
+      " #   Column            Non-Null Count  Dtype  \n",
+      "---  ------            --------------  -----  \n",
+      " 0   Cell Line         866 non-null    object \n",
+      " 1   H3K4me0           865 non-null    float64\n",
+      " 2   H3K4me1           866 non-null    float64\n",
+      " 3   H3K4me2           865 non-null    float64\n",
+      " 4   H3K4ac1           790 non-null    float64\n",
+      " 5   H3K9me0K14ac0     866 non-null    float64\n",
+      " 6   H3K9me1K14ac0     866 non-null    float64\n",
+      " 7   H3K9me2K14ac0     865 non-null    float64\n",
+      " 8   H3K9me3K14ac0     864 non-null    float64\n",
+      " 9   H3K9ac1K14ac0     865 non-null    float64\n",
+      " 10  H3K9me0K14ac1     866 non-null    float64\n",
+      " 11  H3K9me1K14ac1     866 non-null    float64\n",
+      " 12  H3K9me2K14ac1     865 non-null    float64\n",
+      " 13  H3K9me3K14ac1     866 non-null    float64\n",
+      " 14  H3K9ac1K14ac1     866 non-null    float64\n",
+      " 15  H3K18ac0K23ac0    865 non-null    float64\n",
+      " 16  H3K18ac1K23ac0    866 non-null    float64\n",
+      " 17  H3K18ac0K23ac1    866 non-null    float64\n",
+      " 18  H3K18ac1K23ac1    866 non-null    float64\n",
+      " 19  H3K18ac0K23ub1    538 non-null    float64\n",
+      " 20  H3K27me0K36me0    866 non-null    float64\n",
+      " 21  H3K27me0K36me1    865 non-null    float64\n",
+      " 22  H3K27me0K36me2    865 non-null    float64\n",
+      " 23  H3K27me0K36me3    865 non-null    float64\n",
+      " 24  H3K27me1K36me0    865 non-null    float64\n",
+      " 25  H3K27me1K36me1    865 non-null    float64\n",
+      " 26  H3K27me1K36me2    866 non-null    float64\n",
+      " 27  H3K27me1K36me3    866 non-null    float64\n",
+      " 28  H3K27me2K36me0    865 non-null    float64\n",
+      " 29  H3K27me2K36me1    865 non-null    float64\n",
+      " 30  H3K27me2K36me2    866 non-null    float64\n",
+      " 31  H3K27me3K36me0    865 non-null    float64\n",
+      " 32  H3K27me3K36me1    865 non-null    float64\n",
+      " 33  H3K27ac1K36me0    858 non-null    float64\n",
+      " 34  H3K27ac1K36me1    825 non-null    float64\n",
+      " 35  H3K27ac1K36me2    855 non-null    float64\n",
+      " 36  H3K27ac1K36me3    861 non-null    float64\n",
+      " 37  H3.3K27me0K36me0  865 non-null    float64\n",
+      " 38  H3K56me0          866 non-null    float64\n",
+      " 39  H3K56me1          531 non-null    float64\n",
+      " 40  H3K79me0          866 non-null    float64\n",
+      " 41  H3K79me1          861 non-null    float64\n",
+      " 42  H3K79me2          860 non-null    float64\n",
+      "dtypes: float64(42), object(1)\n",
+      "memory usage: 291.0+ KB\n",
+      "\n",
+      "\n",
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "Int64Index: 863 entries, 0 to 862\n",
+      "Columns: 269 entries, CCL to H3K79me2\n",
+      "dtypes: float64(267), object(2)\n",
+      "memory usage: 1.8+ MB\n"
+     ]
+    }
+   ],
+   "source": [
+    "metabolites.info()\n",
+    "print('\\n')\n",
+    "hm.info()\n",
+    "print('\\n')\n",
+    "result.info()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "Int64Index: 863 entries, 0 to 862\n",
+      "Columns: 225 entries, 2-aminoadipate to C58:6 TAG\n",
+      "dtypes: float64(225)\n",
+      "memory usage: 1.5 MB\n"
+     ]
+    }
+   ],
+   "source": [
+    "left = result.iloc[:,1:226]\n",
+    "\n",
+    "left.info()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
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+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>0.116020</td>\n",
+       "      <td>-0.153144</td>\n",
+       "      <td>-0.348607</td>\n",
+       "      <td>-1.417128</td>\n",
+       "      <td>-1.281177</td>\n",
+       "      <td>-0.719707</td>\n",
+       "      <td>-0.208080</td>\n",
+       "      <td>-0.033416</td>\n",
+       "      <td>-0.967821</td>\n",
+       "      <td>-1.150058</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.396178</td>\n",
+       "      <td>1.261963</td>\n",
+       "      <td>0.492776</td>\n",
+       "      <td>-0.211349</td>\n",
+       "      <td>-0.554973</td>\n",
+       "      <td>-0.222912</td>\n",
+       "      <td>-0.310910</td>\n",
+       "      <td>-0.272655</td>\n",
+       "      <td>0.271469</td>\n",
+       "      <td>0.469647</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>-0.058624</td>\n",
+       "      <td>0.219592</td>\n",
+       "      <td>0.110946</td>\n",
+       "      <td>-0.170282</td>\n",
+       "      <td>0.334630</td>\n",
+       "      <td>0.497303</td>\n",
+       "      <td>0.307907</td>\n",
+       "      <td>-0.466686</td>\n",
+       "      <td>0.062518</td>\n",
+       "      <td>-0.517698</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.198709</td>\n",
+       "      <td>-1.394997</td>\n",
+       "      <td>-1.123119</td>\n",
+       "      <td>-1.501911</td>\n",
+       "      <td>-0.180229</td>\n",
+       "      <td>-0.075173</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.051018</td>\n",
+       "      <td>0.099032</td>\n",
+       "      <td>0.169761</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>0.480909</td>\n",
+       "      <td>0.298440</td>\n",
+       "      <td>0.073777</td>\n",
+       "      <td>0.413953</td>\n",
+       "      <td>-0.479543</td>\n",
+       "      <td>0.133280</td>\n",
+       "      <td>0.053279</td>\n",
+       "      <td>-0.220467</td>\n",
+       "      <td>-0.427160</td>\n",
+       "      <td>0.215504</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.055683</td>\n",
+       "      <td>-0.659294</td>\n",
+       "      <td>0.114288</td>\n",
+       "      <td>-1.289012</td>\n",
+       "      <td>0.280396</td>\n",
+       "      <td>0.117564</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.185984</td>\n",
+       "      <td>0.191760</td>\n",
+       "      <td>-0.437561</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>-0.079957</td>\n",
+       "      <td>-0.617656</td>\n",
+       "      <td>-0.566702</td>\n",
+       "      <td>0.079932</td>\n",
+       "      <td>0.373140</td>\n",
+       "      <td>0.159682</td>\n",
+       "      <td>0.060946</td>\n",
+       "      <td>-0.181112</td>\n",
+       "      <td>0.208328</td>\n",
+       "      <td>0.182229</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1.098303</td>\n",
+       "      <td>0.381884</td>\n",
+       "      <td>0.258282</td>\n",
+       "      <td>0.751323</td>\n",
+       "      <td>0.031194</td>\n",
+       "      <td>-0.199316</td>\n",
+       "      <td>0.037929</td>\n",
+       "      <td>0.003978</td>\n",
+       "      <td>-0.225147</td>\n",
+       "      <td>-0.061445</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>-0.059965</td>\n",
+       "      <td>-0.063483</td>\n",
+       "      <td>-0.267980</td>\n",
+       "      <td>0.357422</td>\n",
+       "      <td>0.075651</td>\n",
+       "      <td>0.047830</td>\n",
+       "      <td>0.115243</td>\n",
+       "      <td>-0.498239</td>\n",
+       "      <td>-0.059567</td>\n",
+       "      <td>0.845077</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.185237</td>\n",
+       "      <td>0.239421</td>\n",
+       "      <td>0.358072</td>\n",
+       "      <td>-0.176527</td>\n",
+       "      <td>-0.351188</td>\n",
+       "      <td>0.037021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.045495</td>\n",
+       "      <td>-0.153684</td>\n",
+       "      <td>-0.106306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 42 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "    H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  H3K9me1K14ac0  \\\n",
+       "0  0.116020 -0.153144 -0.348607 -1.417128      -1.281177      -0.719707   \n",
+       "1 -0.058624  0.219592  0.110946 -0.170282       0.334630       0.497303   \n",
+       "2  0.480909  0.298440  0.073777  0.413953      -0.479543       0.133280   \n",
+       "3 -0.079957 -0.617656 -0.566702  0.079932       0.373140       0.159682   \n",
+       "4 -0.059965 -0.063483 -0.267980  0.357422       0.075651       0.047830   \n",
+       "\n",
+       "   H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  H3K9me0K14ac1  ...  \\\n",
+       "0      -0.208080      -0.033416      -0.967821      -1.150058  ...   \n",
+       "1       0.307907      -0.466686       0.062518      -0.517698  ...   \n",
+       "2       0.053279      -0.220467      -0.427160       0.215504  ...   \n",
+       "3       0.060946      -0.181112       0.208328       0.182229  ...   \n",
+       "4       0.115243      -0.498239      -0.059567       0.845077  ...   \n",
+       "\n",
+       "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "0        0.396178        1.261963        0.492776       -0.211349   \n",
+       "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+       "2        0.055683       -0.659294        0.114288       -1.289012   \n",
+       "3        1.098303        0.381884        0.258282        0.751323   \n",
+       "4       -0.185237        0.239421        0.358072       -0.176527   \n",
+       "\n",
+       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+       "\n",
+       "[5 rows x 42 columns]"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "right = result.iloc[:,227:269]\n",
+    "\n",
+    "right.head()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr = pd.concat([left, right], axis=1, keys=['left', 'right']).corr().loc['left', 'right']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr.to_csv('corr.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr2 = pd.concat([metabolites, hm], axis=1, keys=['metabolites', 'hm']).corr().loc['metabolites', 'hm']\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr2.to_csv('corr2.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 48,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
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+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>Adipate</th>\n",
+       "      <th>Alpha-ketoglutarate</th>\n",
+       "      <th>AMP</th>\n",
+       "      <th>Citrate</th>\n",
+       "      <th>...</th>\n",
+       "      <th>C56:8 TAG</th>\n",
+       "      <th>C56:7 TAG</th>\n",
+       "      <th>C56:6 TAG</th>\n",
+       "      <th>C56:5 TAG</th>\n",
+       "      <th>C56:4 TAG</th>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0051</td>\n",
+       "      <td>0.0017</td>\n",
+       "      <td>0.0014</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>0.0155</td>\n",
+       "      <td>0.0132</td>\n",
+       "      <td>0.0494</td>\n",
+       "      <td>0.017</td>\n",
+       "      <td>0.0085</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0135</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.01</td>\n",
+       "      <td>0.0289</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0009</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.0027</td>\n",
+       "      <td>0.0056</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.001</td>\n",
+       "      <td>0.0031</td>\n",
+       "      <td>0.0004</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0342</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0153</td>\n",
+       "      <td>0.0193</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0165</td>\n",
+       "      <td>0.0305</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0437</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0076</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0006</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0027</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0102</td>\n",
+       "      <td>0.0172</td>\n",
+       "      <td>0.0372</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0025</td>\n",
+       "      <td>0.0384</td>\n",
+       "      <td>0.0064</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0001</td>\n",
+       "      <td>0.002</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0068</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <td>0.0391</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0016</td>\n",
+       "      <td>0.0005</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0173</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0001</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0446</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0018</td>\n",
+       "      <td>0.0026</td>\n",
+       "      <td>0.0003</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0077</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0006</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me1K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0017</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me2K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.002</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0456</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0011</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me3K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0127</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0121</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9ac1K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0335</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.029</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.001</td>\n",
+       "      <td>0.0013</td>\n",
+       "      <td>0.0003</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0005</td>\n",
+       "      <td>0.0006</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac0K23ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.034</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0343</td>\n",
+       "      <td>0.0109</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac1K23ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0239</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0042</td>\n",
+       "      <td>0.0109</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0049</td>\n",
+       "      <td>0.0205</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0164</td>\n",
+       "      <td>0.0137</td>\n",
+       "      <td>0.0068</td>\n",
+       "      <td>0.0054</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac0K23ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0003</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0001</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac1K23ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0032</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.012</td>\n",
+       "      <td>0.0143</td>\n",
+       "      <td>0.0024</td>\n",
+       "      <td>0.0219</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0082</td>\n",
+       "      <td>0.0104</td>\n",
+       "      <td>0.0181</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac0K23ub1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0075</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.016</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0175</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0289</td>\n",
+       "      <td>0.0263</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0158</td>\n",
+       "      <td>0.0215</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0368</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.035</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0493</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0018</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0222</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0306</td>\n",
+       "      <td>0.0122</td>\n",
+       "      <td>0.0016</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.0013</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.003</td>\n",
+       "      <td>0.008</td>\n",
+       "      <td>0.0056</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me3</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0043</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0419</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0025</td>\n",
+       "      <td>0.0294</td>\n",
+       "      <td>0.0011</td>\n",
+       "      <td>0.0039</td>\n",
+       "      <td>0.0116</td>\n",
+       "      <td>0.0093</td>\n",
+       "      <td>0.0109</td>\n",
+       "      <td>0.0176</td>\n",
+       "      <td>0.0264</td>\n",
+       "      <td>0.0031</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me3</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.03</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0484</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0177</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0086</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.0005</td>\n",
+       "      <td>0.0009</td>\n",
+       "      <td>0.0022</td>\n",
+       "      <td>0.0038</td>\n",
+       "      <td>0.0005</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me2K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0409</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me2K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0042</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0078</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0308</td>\n",
+       "      <td>0.0055</td>\n",
+       "      <td>0.0044</td>\n",
+       "      <td>0.0007</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0124</td>\n",
+       "      <td>0.0365</td>\n",
+       "      <td>0.0125</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me2K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0154</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0072</td>\n",
+       "      <td>0.0147</td>\n",
+       "      <td>0.0022</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>0.0248</td>\n",
+       "      <td>0.0156</td>\n",
+       "      <td>0.0029</td>\n",
+       "      <td>0.0161</td>\n",
+       "      <td>0.0037</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me3K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me3K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0272</td>\n",
+       "      <td>0.0202</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0465</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0107</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0415</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0061</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0064</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0209</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0166</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0473</td>\n",
+       "      <td>0.0453</td>\n",
+       "      <td>0.032</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0132</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0031</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0007</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0232</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0293</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0385</td>\n",
+       "      <td>0.0205</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0434</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0415</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K79me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.032</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0313</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0352</td>\n",
+       "      <td>0.0082</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>42 rows × 225 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                 2-aminoadipate 3-phosphoglycerate Alpha-glycerophosphate  \\\n",
+       "H3K4me0                     NaN                NaN                    NaN   \n",
+       "H3K4me1                     NaN                NaN                    NaN   \n",
+       "H3K4me2                     NaN                NaN                 0.0012   \n",
+       "H3K4ac1                     NaN                NaN                 0.0002   \n",
+       "H3K9me0K14ac0               NaN                NaN                    NaN   \n",
+       "H3K9me1K14ac0               NaN                NaN                 0.0437   \n",
+       "H3K9me2K14ac0               NaN                NaN                    NaN   \n",
+       "H3K9me3K14ac0               NaN             0.0027                    NaN   \n",
+       "H3K9ac1K14ac0            0.0391                NaN                    NaN   \n",
+       "H3K9me0K14ac1               NaN                NaN                 0.0077   \n",
+       "H3K9me1K14ac1               NaN                NaN                 0.0017   \n",
+       "H3K9me2K14ac1               NaN                NaN                  0.002   \n",
+       "H3K9me3K14ac1               NaN                NaN                 0.0127   \n",
+       "H3K9ac1K14ac1               NaN                NaN                    NaN   \n",
+       "H3K18ac0K23ac0              NaN                NaN                    NaN   \n",
+       "H3K18ac1K23ac0              NaN                NaN                    NaN   \n",
+       "H3K18ac0K23ac1              NaN                NaN                 0.0003   \n",
+       "H3K18ac1K23ac1              NaN                NaN                 0.0032   \n",
+       "H3K18ac0K23ub1              NaN                NaN                    NaN   \n",
+       "H3K27me0K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me0K36me1              NaN                NaN                    NaN   \n",
+       "H3K27me0K36me2              NaN                NaN                 0.0018   \n",
+       "H3K27me0K36me3              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me1              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me2              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me3              NaN                NaN                   0.03   \n",
+       "H3K27me2K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me2K36me1              NaN                NaN                    NaN   \n",
+       "H3K27me2K36me2              NaN                NaN                    NaN   \n",
+       "H3K27me3K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me3K36me1              NaN                NaN                    NaN   \n",
+       "H3K27ac1K36me0              NaN             0.0465                    NaN   \n",
+       "H3K27ac1K36me1              NaN             0.0107                    NaN   \n",
+       "H3K27ac1K36me2              NaN             0.0061                    NaN   \n",
+       "H3K27ac1K36me3              NaN                NaN                 0.0132   \n",
+       "H3.3K27me0K36me0            NaN                NaN                 0.0031   \n",
+       "H3K56me0                    NaN                NaN                    NaN   \n",
+       "H3K56me1                    NaN                NaN                 0.0293   \n",
+       "H3K79me0                    NaN                NaN                    NaN   \n",
+       "H3K79me1                    NaN                NaN                 0.0434   \n",
+       "H3K79me2                    NaN                NaN                  0.032   \n",
+       "\n",
+       "                 4-pyridoxate Aconitate Adenine Adipate Alpha-ketoglutarate  \\\n",
+       "H3K4me0                   NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K4me1                   NaN    0.0135     NaN     NaN                0.01   \n",
+       "H3K4me2                   NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K4ac1                   NaN       NaN     NaN  0.0342                 NaN   \n",
+       "H3K9me0K14ac0             NaN    0.0153  0.0193     NaN                 NaN   \n",
+       "H3K9me1K14ac0             NaN       NaN  0.0076     NaN                 NaN   \n",
+       "H3K9me2K14ac0             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9me3K14ac0             NaN    0.0102  0.0172  0.0372                 NaN   \n",
+       "H3K9ac1K14ac0             NaN    0.0016  0.0005     NaN                 NaN   \n",
+       "H3K9me0K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9me1K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9me2K14ac1             NaN       NaN  0.0456     NaN                 NaN   \n",
+       "H3K9me3K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9ac1K14ac1             NaN    0.0335     NaN     NaN                 NaN   \n",
+       "H3K18ac0K23ac0            NaN       NaN   0.034     NaN                 NaN   \n",
+       "H3K18ac1K23ac0            NaN       NaN     NaN     NaN              0.0239   \n",
+       "H3K18ac0K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K18ac1K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K18ac0K23ub1            NaN    0.0075     NaN   0.016                 NaN   \n",
+       "H3K27me0K36me0            NaN       NaN     NaN  0.0368                 NaN   \n",
+       "H3K27me0K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me0K36me2            NaN       NaN  0.0021     NaN                 NaN   \n",
+       "H3K27me0K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me1K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me1K36me2            NaN       NaN     NaN     NaN              0.0419   \n",
+       "H3K27me1K36me3            NaN    0.0484     NaN     NaN                 NaN   \n",
+       "H3K27me2K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me2K36me1            NaN       NaN  0.0042     NaN                 NaN   \n",
+       "H3K27me2K36me2            NaN       NaN     NaN  0.0154                 NaN   \n",
+       "H3K27me3K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me3K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27ac1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27ac1K36me1            NaN       NaN     NaN     NaN              0.0415   \n",
+       "H3K27ac1K36me2            NaN       NaN     NaN     NaN              0.0064   \n",
+       "H3K27ac1K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3.3K27me0K36me0          NaN       NaN     NaN  0.0007                 NaN   \n",
+       "H3K56me0                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K56me1                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K79me0                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K79me1                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K79me2                  NaN       NaN  0.0313     NaN              0.0352   \n",
+       "\n",
+       "                     AMP Citrate  ... C56:8 TAG C56:7 TAG C56:6 TAG C56:5 TAG  \\\n",
+       "H3K4me0              NaN     NaN  ...       NaN    0.0051    0.0017    0.0014   \n",
+       "H3K4me1           0.0289     NaN  ...    0.0009    0.0004    0.0004    0.0008   \n",
+       "H3K4me2              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K4ac1              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me0K14ac0        NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me1K14ac0     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me2K14ac0     0.0008     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me3K14ac0          0     NaN  ...    0.0025    0.0384    0.0064    0.0012   \n",
+       "H3K9ac1K14ac0        NaN  0.0173  ...    0.0001    0.0004    0.0002    0.0004   \n",
+       "H3K9me0K14ac1     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me1K14ac1     0.0002     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me2K14ac1     0.0011     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me3K14ac1     0.0121     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9ac1K14ac1        NaN   0.029  ...     0.001    0.0013    0.0003    0.0012   \n",
+       "H3K18ac0K23ac0         0     NaN  ...       NaN       NaN       NaN    0.0343   \n",
+       "H3K18ac1K23ac0       NaN     NaN  ...    0.0042    0.0109    0.0012    0.0049   \n",
+       "H3K18ac0K23ac1    0.0001     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K18ac1K23ac1       NaN     NaN  ...     0.012    0.0143    0.0024    0.0219   \n",
+       "H3K18ac0K23ub1       NaN  0.0175  ...       NaN    0.0289    0.0263       NaN   \n",
+       "H3K27me0K36me0     0.035     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me0K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me0K36me2    0.0222     NaN  ...    0.0306    0.0122    0.0016    0.0008   \n",
+       "H3K27me0K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me1K36me0    0.0043     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me1K36me2       NaN     NaN  ...    0.0025    0.0294    0.0011    0.0039   \n",
+       "H3K27me1K36me3    0.0012  0.0177  ...    0.0086    0.0004    0.0008    0.0002   \n",
+       "H3K27me2K36me0    0.0409     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me2K36me1       NaN  0.0078  ...    0.0308    0.0055    0.0044    0.0007   \n",
+       "H3K27me2K36me2       NaN     NaN  ...       NaN    0.0072    0.0147    0.0022   \n",
+       "H3K27me3K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me3K36me1       NaN     NaN  ...       NaN       NaN       NaN    0.0272   \n",
+       "H3K27ac1K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27ac1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27ac1K36me2       NaN     NaN  ...    0.0209       NaN    0.0166       NaN   \n",
+       "H3K27ac1K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3.3K27me0K36me0       0     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K56me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K56me1             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K79me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K79me1          0.0415     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K79me2          0.0082     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "\n",
+       "                 C56:4 TAG C56:3 TAG C56:2 TAG C58:8 TAG C58:7 TAG C58:6 TAG  \n",
+       "H3K4me0             0.0015    0.0155    0.0132    0.0494     0.017    0.0085  \n",
+       "H3K4me1             0.0027    0.0056    0.0008     0.001    0.0031    0.0004  \n",
+       "H3K4me2                NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K4ac1                NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me0K14ac0       0.0165    0.0305       NaN       NaN       NaN       NaN  \n",
+       "H3K9me1K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me2K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me3K14ac0       0.0001     0.002    0.0015       NaN       NaN    0.0068  \n",
+       "H3K9ac1K14ac0       0.0446       NaN       NaN    0.0018    0.0026    0.0003  \n",
+       "H3K9me0K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me1K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me2K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me3K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9ac1K14ac1          NaN       NaN       NaN    0.0004    0.0005    0.0006  \n",
+       "H3K18ac0K23ac0      0.0109       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K18ac1K23ac0      0.0205       NaN    0.0164    0.0137    0.0068    0.0054  \n",
+       "H3K18ac0K23ac1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K18ac1K23ac1         NaN       NaN       NaN    0.0082    0.0104    0.0181  \n",
+       "H3K18ac0K23ub1         NaN       NaN       NaN    0.0158    0.0215       NaN  \n",
+       "H3K27me0K36me0         NaN       NaN       NaN    0.0493       NaN       NaN  \n",
+       "H3K27me0K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me0K36me2      0.0013       NaN       NaN     0.003     0.008    0.0056  \n",
+       "H3K27me0K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me1K36me2      0.0116    0.0093    0.0109    0.0176    0.0264    0.0031  \n",
+       "H3K27me1K36me3           0    0.0005    0.0009    0.0022    0.0038    0.0005  \n",
+       "H3K27me2K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me2K36me1      0.0015       NaN       NaN    0.0124    0.0365    0.0125  \n",
+       "H3K27me2K36me2      0.0015    0.0248    0.0156    0.0029    0.0161    0.0037  \n",
+       "H3K27me3K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me3K36me1      0.0202       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27ac1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27ac1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27ac1K36me2         NaN       NaN       NaN    0.0473    0.0453     0.032  \n",
+       "H3K27ac1K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3.3K27me0K36me0       NaN       NaN    0.0232       NaN       NaN       NaN  \n",
+       "H3K56me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K56me1               NaN       NaN       NaN    0.0385    0.0205       NaN  \n",
+       "H3K79me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K79me1               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K79me2               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "\n",
+       "[42 rows x 225 columns]"
+      ]
+     },
+     "execution_count": 48,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def calculate_pvalues(df,left,right):\n",
+    "    df = df.dropna()._get_numeric_data()\n",
+    "    dfcols = pd.DataFrame(columns=df.columns)\n",
+    "    df1 = left.dropna()._get_numeric_data()\n",
+    "    df2 = right.dropna()._get_numeric_data()\n",
+    "    df1cols = pd.DataFrame(columns=df1.columns)\n",
+    "    df2cols = pd.DataFrame(columns=df2.columns)\n",
+    "    pvalues = dfcols.transpose().join(dfcols, how='outer')\n",
+    "    newpvalues = df2cols.transpose().join(df1cols, how='outer')\n",
+    "    for r in (df.columns):\n",
+    "        for c in (df.columns):\n",
+    "            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)\n",
+    "    for r in (df1.columns):\n",
+    "        for c in (df2.columns):\n",
+    "            if pvalues[r][c] <= 0.05:\n",
+    "                newpvalues[r][c] = pvalues[r][c]\n",
+    "    newpvalues.to_csv('pvalues<0.05.csv')\n",
+    "    return newpvalues\n",
+    "\n",
+    "calculate_pvalues(result,left,right)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}

From 4a7d56562da19b93bbeb28d226408f56db852962 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Sat, 3 Oct 2020 21:03:58 -0400
Subject: [PATCH 04/18] add pvalue

---
 src/python/EDA/MET2GCP_CORR.ipynb | 1575 ++++++++++++++++++++++++-----
 1 file changed, 1306 insertions(+), 269 deletions(-)

diff --git a/src/python/EDA/MET2GCP_CORR.ipynb b/src/python/EDA/MET2GCP_CORR.ipynb
index 9fb17ca..79f1461 100644
--- a/src/python/EDA/MET2GCP_CORR.ipynb
+++ b/src/python/EDA/MET2GCP_CORR.ipynb
@@ -31,7 +31,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 72,
+   "execution_count": 1,
    "metadata": {
     "scrolled": true
    },
@@ -238,20 +238,24 @@
        "[5 rows x 229 columns]"
       ]
      },
-     "execution_count": 72,
+     "execution_count": 1,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
     "import pandas as pd\n",
+    "import numpy as np\n",
+    "import scipy.stats\n",
+    "from scipy.stats import kendalltau, pearsonr, spearmanr\n",
+    "from scipy import stats\n",
     "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
     "md.head()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
@@ -326,7 +330,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 3,
    "metadata": {
     "scrolled": true
    },
@@ -533,7 +537,7 @@
        "[5 rows x 43 columns]"
       ]
      },
-     "execution_count": 39,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -553,7 +557,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -758,7 +762,7 @@
        "[5 rows x 269 columns]"
       ]
      },
-     "execution_count": 77,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -770,7 +774,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -862,7 +866,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 87,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -1067,7 +1071,7 @@
        "[5 rows x 225 columns]"
       ]
      },
-     "execution_count": 87,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1079,7 +1083,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 112,
+   "execution_count": 7,
    "metadata": {
     "scrolled": true
    },
@@ -1286,7 +1290,7 @@
        "[5 rows x 42 columns]"
       ]
      },
-     "execution_count": 112,
+     "execution_count": 7,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1301,117 +1305,22 @@
    "metadata": {},
    "source": [
     "## Compute pearson correlation coefficient and pvalue\n",
-    "Finally, we'll compute the correlation coefficients between metabolites and histone markers. Note that we're also computing metabolite-metabolite and histone-histone correlations. While those are interesting as well, we'll ignore those for downstream analyses.\n"
+    "Finally, we'll compute the correlation coefficients between metabolites and histone markers and the p-value of correlation. Note that we're also computing metabolite-metabolite and histone-histone correlations. While those are interesting as well, we'll ignore those for downstream analyses.\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 107,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "                        2-aminoadipate  3-phosphoglycerate  \\\n",
-      "2-aminoadipate                1.000000            0.009742   \n",
-      "3-phosphoglycerate            0.009742            1.000000   \n",
-      "Alpha-glycerophosphate       -0.027005            0.005108   \n",
-      "4-pyridoxate                 -0.015531           -0.266691   \n",
-      "Aconitate                     0.119172            0.385037   \n",
-      "...                                ...                 ...   \n",
-      "H3K56me0                     -0.015090           -0.053514   \n",
-      "H3K56me1                      0.038496           -0.011799   \n",
-      "H3K79me0                      0.026004           -0.041461   \n",
-      "H3K79me1                      0.021895           -0.028518   \n",
-      "H3K79me2                      0.009092           -0.009319   \n",
-      "\n",
-      "                        Alpha-glycerophosphate  4-pyridoxate  Aconitate  \\\n",
-      "2-aminoadipate                       -0.027005     -0.015531   0.119172   \n",
-      "3-phosphoglycerate                    0.005108     -0.266691   0.385037   \n",
-      "Alpha-glycerophosphate                1.000000     -0.040588   0.168677   \n",
-      "4-pyridoxate                         -0.040588      1.000000  -0.266891   \n",
-      "Aconitate                             0.168677     -0.266891   1.000000   \n",
-      "...                                        ...           ...        ...   \n",
-      "H3K56me0                             -0.050834     -0.003100   0.005705   \n",
-      "H3K56me1                              0.081335      0.010450  -0.041541   \n",
-      "H3K79me0                             -0.069509      0.049615  -0.042933   \n",
-      "H3K79me1                             -0.054641      0.011765  -0.030498   \n",
-      "H3K79me2                             -0.010631      0.042426  -0.005861   \n",
-      "\n",
-      "                         Adenine   Adipate  Alpha-ketoglutarate       AMP  \\\n",
-      "2-aminoadipate         -0.030658  0.083013             0.104117 -0.161332   \n",
-      "3-phosphoglycerate     -0.054941 -0.256767             0.408922 -0.123345   \n",
-      "Alpha-glycerophosphate  0.158677 -0.110087             0.133762  0.455517   \n",
-      "4-pyridoxate            0.069204  0.295297            -0.190602  0.045089   \n",
-      "Aconitate              -0.150450 -0.276945             0.573266 -0.074807   \n",
-      "...                          ...       ...                  ...       ...   \n",
-      "H3K56me0               -0.019569 -0.040507             0.003741 -0.087760   \n",
-      "H3K56me1               -0.060719  0.013080             0.014591  0.000198   \n",
-      "H3K79me0               -0.008098  0.018268            -0.039120 -0.021996   \n",
-      "H3K79me1               -0.035233 -0.061506             0.008989 -0.079293   \n",
-      "H3K79me2               -0.033863 -0.032603             0.058298 -0.075058   \n",
-      "\n",
-      "                         Citrate  ...  H3K27ac1K36me0  H3K27ac1K36me1  \\\n",
-      "2-aminoadipate          0.042275  ...        0.005171        0.072125   \n",
-      "3-phosphoglycerate      0.357462  ...        0.078900        0.093404   \n",
-      "Alpha-glycerophosphate  0.157747  ...        0.093395        0.051769   \n",
-      "4-pyridoxate           -0.228018  ...       -0.017766       -0.020870   \n",
-      "Aconitate               0.859511  ...        0.009039        0.048717   \n",
-      "...                          ...  ...             ...             ...   \n",
-      "H3K56me0                0.039670  ...        0.120560        0.122739   \n",
-      "H3K56me1                0.010625  ...        0.082692        0.200012   \n",
-      "H3K79me0               -0.035872  ...        0.071300        0.060725   \n",
-      "H3K79me1               -0.021629  ...       -0.068888        0.010096   \n",
-      "H3K79me2                0.013075  ...       -0.029726        0.027888   \n",
-      "\n",
-      "                        H3K27ac1K36me2  H3K27ac1K36me3  H3.3K27me0K36me0  \\\n",
-      "2-aminoadipate                0.102133        0.040594         -0.047334   \n",
-      "3-phosphoglycerate            0.090150        0.026673          0.027275   \n",
-      "Alpha-glycerophosphate        0.050861        0.108437         -0.126376   \n",
-      "4-pyridoxate                 -0.003874        0.007819          0.004127   \n",
-      "Aconitate                     0.066045        0.035413         -0.009440   \n",
-      "...                                ...             ...               ...   \n",
-      "H3K56me0                      0.144350        0.141056          0.231307   \n",
-      "H3K56me1                      0.091122        0.197533          0.095579   \n",
-      "H3K79me0                      0.090169        0.075813          0.132846   \n",
-      "H3K79me1                      0.088241        0.119392          0.058123   \n",
-      "H3K79me2                      0.057008        0.166618         -0.009866   \n",
-      "\n",
-      "                        H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
-      "2-aminoadipate         -0.015090  0.038496  0.026004  0.021895  0.009092  \n",
-      "3-phosphoglycerate     -0.053514 -0.011799 -0.041461 -0.028518 -0.009319  \n",
-      "Alpha-glycerophosphate -0.050834  0.081335 -0.069509 -0.054641 -0.010631  \n",
-      "4-pyridoxate           -0.003100  0.010450  0.049615  0.011765  0.042426  \n",
-      "Aconitate               0.005705 -0.041541 -0.042933 -0.030498 -0.005861  \n",
-      "...                          ...       ...       ...       ...       ...  \n",
-      "H3K56me0                1.000000  0.181804  0.456973  0.353138  0.185089  \n",
-      "H3K56me1                0.181804  1.000000  0.095565  0.136408  0.309591  \n",
-      "H3K79me0                0.456973  0.095565  1.000000  0.198831  0.049578  \n",
-      "H3K79me1                0.353138  0.136408  0.198831  1.000000  0.679642  \n",
-      "H3K79me2                0.185089  0.309591  0.049578  0.679642  1.000000  \n",
-      "\n",
-      "[267 rows x 267 columns]\n"
-     ]
-    }
-   ],
-   "source": [
-    "correlation = result.corr(method ='pearson')\n",
-    "print (correlation)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 108,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
-    "correlation.to_csv('corr.csv')"
+    "correlation = result.corr(method ='pearson')\n",
+    "correlation.to_csv('correlation.csv')"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 121,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1420,7 +1329,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 122,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1429,165 +1338,1293 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 123,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr2 = pd.concat([metabolites, hm], axis=1, keys=['metabolites', 'hm']).corr().loc['metabolites', 'hm']\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 124,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr2.to_csv('corr2.csv')"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 125,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "<class 'pandas.core.frame.DataFrame'>\n",
-      "Index: 225 entries, 2-aminoadipate to C58:6 TAG\n",
-      "Data columns (total 42 columns):\n",
-      " #   Column            Non-Null Count  Dtype  \n",
-      "---  ------            --------------  -----  \n",
-      " 0   H3K4me0           225 non-null    float64\n",
-      " 1   H3K4me1           225 non-null    float64\n",
-      " 2   H3K4me2           225 non-null    float64\n",
-      " 3   H3K4ac1           225 non-null    float64\n",
-      " 4   H3K9me0K14ac0     225 non-null    float64\n",
-      " 5   H3K9me1K14ac0     225 non-null    float64\n",
-      " 6   H3K9me2K14ac0     225 non-null    float64\n",
-      " 7   H3K9me3K14ac0     225 non-null    float64\n",
-      " 8   H3K9ac1K14ac0     225 non-null    float64\n",
-      " 9   H3K9me0K14ac1     225 non-null    float64\n",
-      " 10  H3K9me1K14ac1     225 non-null    float64\n",
-      " 11  H3K9me2K14ac1     225 non-null    float64\n",
-      " 12  H3K9me3K14ac1     225 non-null    float64\n",
-      " 13  H3K9ac1K14ac1     225 non-null    float64\n",
-      " 14  H3K18ac0K23ac0    225 non-null    float64\n",
-      " 15  H3K18ac1K23ac0    225 non-null    float64\n",
-      " 16  H3K18ac0K23ac1    225 non-null    float64\n",
-      " 17  H3K18ac1K23ac1    225 non-null    float64\n",
-      " 18  H3K18ac0K23ub1    225 non-null    float64\n",
-      " 19  H3K27me0K36me0    225 non-null    float64\n",
-      " 20  H3K27me0K36me1    225 non-null    float64\n",
-      " 21  H3K27me0K36me2    225 non-null    float64\n",
-      " 22  H3K27me0K36me3    225 non-null    float64\n",
-      " 23  H3K27me1K36me0    225 non-null    float64\n",
-      " 24  H3K27me1K36me1    225 non-null    float64\n",
-      " 25  H3K27me1K36me2    225 non-null    float64\n",
-      " 26  H3K27me1K36me3    225 non-null    float64\n",
-      " 27  H3K27me2K36me0    225 non-null    float64\n",
-      " 28  H3K27me2K36me1    225 non-null    float64\n",
-      " 29  H3K27me2K36me2    225 non-null    float64\n",
-      " 30  H3K27me3K36me0    225 non-null    float64\n",
-      " 31  H3K27me3K36me1    225 non-null    float64\n",
-      " 32  H3K27ac1K36me0    225 non-null    float64\n",
-      " 33  H3K27ac1K36me1    225 non-null    float64\n",
-      " 34  H3K27ac1K36me2    225 non-null    float64\n",
-      " 35  H3K27ac1K36me3    225 non-null    float64\n",
-      " 36  H3.3K27me0K36me0  225 non-null    float64\n",
-      " 37  H3K56me0          225 non-null    float64\n",
-      " 38  H3K56me1          225 non-null    float64\n",
-      " 39  H3K79me0          225 non-null    float64\n",
-      " 40  H3K79me1          225 non-null    float64\n",
-      " 41  H3K79me2          225 non-null    float64\n",
-      "dtypes: float64(42)\n",
-      "memory usage: 75.6+ KB\n"
-     ]
-    }
-   ],
-   "source": [
-    "corr2.info()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 126,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "<class 'pandas.core.frame.DataFrame'>\n",
-      "Index: 225 entries, 2-aminoadipate to C58:6 TAG\n",
-      "Data columns (total 42 columns):\n",
-      " #   Column            Non-Null Count  Dtype  \n",
-      "---  ------            --------------  -----  \n",
-      " 0   H3K4me0           225 non-null    float64\n",
-      " 1   H3K4me1           225 non-null    float64\n",
-      " 2   H3K4me2           225 non-null    float64\n",
-      " 3   H3K4ac1           225 non-null    float64\n",
-      " 4   H3K9me0K14ac0     225 non-null    float64\n",
-      " 5   H3K9me1K14ac0     225 non-null    float64\n",
-      " 6   H3K9me2K14ac0     225 non-null    float64\n",
-      " 7   H3K9me3K14ac0     225 non-null    float64\n",
-      " 8   H3K9ac1K14ac0     225 non-null    float64\n",
-      " 9   H3K9me0K14ac1     225 non-null    float64\n",
-      " 10  H3K9me1K14ac1     225 non-null    float64\n",
-      " 11  H3K9me2K14ac1     225 non-null    float64\n",
-      " 12  H3K9me3K14ac1     225 non-null    float64\n",
-      " 13  H3K9ac1K14ac1     225 non-null    float64\n",
-      " 14  H3K18ac0K23ac0    225 non-null    float64\n",
-      " 15  H3K18ac1K23ac0    225 non-null    float64\n",
-      " 16  H3K18ac0K23ac1    225 non-null    float64\n",
-      " 17  H3K18ac1K23ac1    225 non-null    float64\n",
-      " 18  H3K18ac0K23ub1    225 non-null    float64\n",
-      " 19  H3K27me0K36me0    225 non-null    float64\n",
-      " 20  H3K27me0K36me1    225 non-null    float64\n",
-      " 21  H3K27me0K36me2    225 non-null    float64\n",
-      " 22  H3K27me0K36me3    225 non-null    float64\n",
-      " 23  H3K27me1K36me0    225 non-null    float64\n",
-      " 24  H3K27me1K36me1    225 non-null    float64\n",
-      " 25  H3K27me1K36me2    225 non-null    float64\n",
-      " 26  H3K27me1K36me3    225 non-null    float64\n",
-      " 27  H3K27me2K36me0    225 non-null    float64\n",
-      " 28  H3K27me2K36me1    225 non-null    float64\n",
-      " 29  H3K27me2K36me2    225 non-null    float64\n",
-      " 30  H3K27me3K36me0    225 non-null    float64\n",
-      " 31  H3K27me3K36me1    225 non-null    float64\n",
-      " 32  H3K27ac1K36me0    225 non-null    float64\n",
-      " 33  H3K27ac1K36me1    225 non-null    float64\n",
-      " 34  H3K27ac1K36me2    225 non-null    float64\n",
-      " 35  H3K27ac1K36me3    225 non-null    float64\n",
-      " 36  H3.3K27me0K36me0  225 non-null    float64\n",
-      " 37  H3K56me0          225 non-null    float64\n",
-      " 38  H3K56me1          225 non-null    float64\n",
-      " 39  H3K79me0          225 non-null    float64\n",
-      " 40  H3K79me1          225 non-null    float64\n",
-      " 41  H3K79me2          225 non-null    float64\n",
-      "dtypes: float64(42)\n",
-      "memory usage: 75.6+ KB\n"
-     ]
-    }
-   ],
-   "source": [
-    "corr.info()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3",
-   "language": "python",
-   "name": "python3"
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <th>Aconitate</th>\n",
+       "      <th>Adenine</th>\n",
+       "      <th>Adipate</th>\n",
+       "      <th>Alpha-ketoglutarate</th>\n",
+       "      <th>AMP</th>\n",
+       "      <th>Citrate</th>\n",
+       "      <th>...</th>\n",
+       "      <th>C56:8 TAG</th>\n",
+       "      <th>C56:7 TAG</th>\n",
+       "      <th>C56:6 TAG</th>\n",
+       "      <th>C56:5 TAG</th>\n",
+       "      <th>C56:4 TAG</th>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0051</td>\n",
+       "      <td>0.0017</td>\n",
+       "      <td>0.0014</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>0.0155</td>\n",
+       "      <td>0.0132</td>\n",
+       "      <td>0.0494</td>\n",
+       "      <td>0.017</td>\n",
+       "      <td>0.0085</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0135</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.01</td>\n",
+       "      <td>0.0289</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0009</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.0027</td>\n",
+       "      <td>0.0056</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.001</td>\n",
+       "      <td>0.0031</td>\n",
+       "      <td>0.0004</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0342</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0153</td>\n",
+       "      <td>0.0193</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0165</td>\n",
+       "      <td>0.0305</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0437</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0076</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0006</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0027</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0102</td>\n",
+       "      <td>0.0172</td>\n",
+       "      <td>0.0372</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0025</td>\n",
+       "      <td>0.0384</td>\n",
+       "      <td>0.0064</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0001</td>\n",
+       "      <td>0.002</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0068</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <td>0.0391</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0016</td>\n",
+       "      <td>0.0005</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0173</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0001</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0446</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0018</td>\n",
+       "      <td>0.0026</td>\n",
+       "      <td>0.0003</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0077</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0006</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me1K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0017</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me2K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.002</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0456</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0011</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9me3K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0127</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0121</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K9ac1K14ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0335</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.029</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.001</td>\n",
+       "      <td>0.0013</td>\n",
+       "      <td>0.0003</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0005</td>\n",
+       "      <td>0.0006</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac0K23ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.034</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0343</td>\n",
+       "      <td>0.0109</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac1K23ac0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0239</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0042</td>\n",
+       "      <td>0.0109</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0049</td>\n",
+       "      <td>0.0205</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0164</td>\n",
+       "      <td>0.0137</td>\n",
+       "      <td>0.0068</td>\n",
+       "      <td>0.0054</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac0K23ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0003</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0001</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac1K23ac1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0032</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.012</td>\n",
+       "      <td>0.0143</td>\n",
+       "      <td>0.0024</td>\n",
+       "      <td>0.0219</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0082</td>\n",
+       "      <td>0.0104</td>\n",
+       "      <td>0.0181</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K18ac0K23ub1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0075</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.016</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0175</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0289</td>\n",
+       "      <td>0.0263</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0158</td>\n",
+       "      <td>0.0215</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0368</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.035</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0493</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0018</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0021</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0222</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0306</td>\n",
+       "      <td>0.0122</td>\n",
+       "      <td>0.0016</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.0013</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.003</td>\n",
+       "      <td>0.008</td>\n",
+       "      <td>0.0056</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me0K36me3</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0043</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0419</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0025</td>\n",
+       "      <td>0.0294</td>\n",
+       "      <td>0.0011</td>\n",
+       "      <td>0.0039</td>\n",
+       "      <td>0.0116</td>\n",
+       "      <td>0.0093</td>\n",
+       "      <td>0.0109</td>\n",
+       "      <td>0.0176</td>\n",
+       "      <td>0.0264</td>\n",
+       "      <td>0.0031</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me1K36me3</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.03</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0484</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0177</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0086</td>\n",
+       "      <td>0.0004</td>\n",
+       "      <td>0.0008</td>\n",
+       "      <td>0.0002</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.0005</td>\n",
+       "      <td>0.0009</td>\n",
+       "      <td>0.0022</td>\n",
+       "      <td>0.0038</td>\n",
+       "      <td>0.0005</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me2K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0409</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me2K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0042</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0078</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0308</td>\n",
+       "      <td>0.0055</td>\n",
+       "      <td>0.0044</td>\n",
+       "      <td>0.0007</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0124</td>\n",
+       "      <td>0.0365</td>\n",
+       "      <td>0.0125</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me2K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0154</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0072</td>\n",
+       "      <td>0.0147</td>\n",
+       "      <td>0.0022</td>\n",
+       "      <td>0.0015</td>\n",
+       "      <td>0.0248</td>\n",
+       "      <td>0.0156</td>\n",
+       "      <td>0.0029</td>\n",
+       "      <td>0.0161</td>\n",
+       "      <td>0.0037</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me3K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27me3K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0272</td>\n",
+       "      <td>0.0202</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0465</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0107</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0415</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0061</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0064</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0209</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0166</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0473</td>\n",
+       "      <td>0.0453</td>\n",
+       "      <td>0.032</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0132</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0031</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0007</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0232</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0293</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0385</td>\n",
+       "      <td>0.0205</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0434</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0415</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>H3K79me2</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.032</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0313</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0352</td>\n",
+       "      <td>0.0082</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>42 rows × 225 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                 2-aminoadipate 3-phosphoglycerate Alpha-glycerophosphate  \\\n",
+       "H3K4me0                     NaN                NaN                    NaN   \n",
+       "H3K4me1                     NaN                NaN                    NaN   \n",
+       "H3K4me2                     NaN                NaN                 0.0012   \n",
+       "H3K4ac1                     NaN                NaN                 0.0002   \n",
+       "H3K9me0K14ac0               NaN                NaN                    NaN   \n",
+       "H3K9me1K14ac0               NaN                NaN                 0.0437   \n",
+       "H3K9me2K14ac0               NaN                NaN                    NaN   \n",
+       "H3K9me3K14ac0               NaN             0.0027                    NaN   \n",
+       "H3K9ac1K14ac0            0.0391                NaN                    NaN   \n",
+       "H3K9me0K14ac1               NaN                NaN                 0.0077   \n",
+       "H3K9me1K14ac1               NaN                NaN                 0.0017   \n",
+       "H3K9me2K14ac1               NaN                NaN                  0.002   \n",
+       "H3K9me3K14ac1               NaN                NaN                 0.0127   \n",
+       "H3K9ac1K14ac1               NaN                NaN                    NaN   \n",
+       "H3K18ac0K23ac0              NaN                NaN                    NaN   \n",
+       "H3K18ac1K23ac0              NaN                NaN                    NaN   \n",
+       "H3K18ac0K23ac1              NaN                NaN                 0.0003   \n",
+       "H3K18ac1K23ac1              NaN                NaN                 0.0032   \n",
+       "H3K18ac0K23ub1              NaN                NaN                    NaN   \n",
+       "H3K27me0K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me0K36me1              NaN                NaN                    NaN   \n",
+       "H3K27me0K36me2              NaN                NaN                 0.0018   \n",
+       "H3K27me0K36me3              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me1              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me2              NaN                NaN                    NaN   \n",
+       "H3K27me1K36me3              NaN                NaN                   0.03   \n",
+       "H3K27me2K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me2K36me1              NaN                NaN                    NaN   \n",
+       "H3K27me2K36me2              NaN                NaN                    NaN   \n",
+       "H3K27me3K36me0              NaN                NaN                    NaN   \n",
+       "H3K27me3K36me1              NaN                NaN                    NaN   \n",
+       "H3K27ac1K36me0              NaN             0.0465                    NaN   \n",
+       "H3K27ac1K36me1              NaN             0.0107                    NaN   \n",
+       "H3K27ac1K36me2              NaN             0.0061                    NaN   \n",
+       "H3K27ac1K36me3              NaN                NaN                 0.0132   \n",
+       "H3.3K27me0K36me0            NaN                NaN                 0.0031   \n",
+       "H3K56me0                    NaN                NaN                    NaN   \n",
+       "H3K56me1                    NaN                NaN                 0.0293   \n",
+       "H3K79me0                    NaN                NaN                    NaN   \n",
+       "H3K79me1                    NaN                NaN                 0.0434   \n",
+       "H3K79me2                    NaN                NaN                  0.032   \n",
+       "\n",
+       "                 4-pyridoxate Aconitate Adenine Adipate Alpha-ketoglutarate  \\\n",
+       "H3K4me0                   NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K4me1                   NaN    0.0135     NaN     NaN                0.01   \n",
+       "H3K4me2                   NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K4ac1                   NaN       NaN     NaN  0.0342                 NaN   \n",
+       "H3K9me0K14ac0             NaN    0.0153  0.0193     NaN                 NaN   \n",
+       "H3K9me1K14ac0             NaN       NaN  0.0076     NaN                 NaN   \n",
+       "H3K9me2K14ac0             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9me3K14ac0             NaN    0.0102  0.0172  0.0372                 NaN   \n",
+       "H3K9ac1K14ac0             NaN    0.0016  0.0005     NaN                 NaN   \n",
+       "H3K9me0K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9me1K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9me2K14ac1             NaN       NaN  0.0456     NaN                 NaN   \n",
+       "H3K9me3K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K9ac1K14ac1             NaN    0.0335     NaN     NaN                 NaN   \n",
+       "H3K18ac0K23ac0            NaN       NaN   0.034     NaN                 NaN   \n",
+       "H3K18ac1K23ac0            NaN       NaN     NaN     NaN              0.0239   \n",
+       "H3K18ac0K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K18ac1K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K18ac0K23ub1            NaN    0.0075     NaN   0.016                 NaN   \n",
+       "H3K27me0K36me0            NaN       NaN     NaN  0.0368                 NaN   \n",
+       "H3K27me0K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me0K36me2            NaN       NaN  0.0021     NaN                 NaN   \n",
+       "H3K27me0K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me1K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me1K36me2            NaN       NaN     NaN     NaN              0.0419   \n",
+       "H3K27me1K36me3            NaN    0.0484     NaN     NaN                 NaN   \n",
+       "H3K27me2K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me2K36me1            NaN       NaN  0.0042     NaN                 NaN   \n",
+       "H3K27me2K36me2            NaN       NaN     NaN  0.0154                 NaN   \n",
+       "H3K27me3K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27me3K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27ac1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K27ac1K36me1            NaN       NaN     NaN     NaN              0.0415   \n",
+       "H3K27ac1K36me2            NaN       NaN     NaN     NaN              0.0064   \n",
+       "H3K27ac1K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3.3K27me0K36me0          NaN       NaN     NaN  0.0007                 NaN   \n",
+       "H3K56me0                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K56me1                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K79me0                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K79me1                  NaN       NaN     NaN     NaN                 NaN   \n",
+       "H3K79me2                  NaN       NaN  0.0313     NaN              0.0352   \n",
+       "\n",
+       "                     AMP Citrate  ... C56:8 TAG C56:7 TAG C56:6 TAG C56:5 TAG  \\\n",
+       "H3K4me0              NaN     NaN  ...       NaN    0.0051    0.0017    0.0014   \n",
+       "H3K4me1           0.0289     NaN  ...    0.0009    0.0004    0.0004    0.0008   \n",
+       "H3K4me2              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K4ac1              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me0K14ac0        NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me1K14ac0     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me2K14ac0     0.0008     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me3K14ac0          0     NaN  ...    0.0025    0.0384    0.0064    0.0012   \n",
+       "H3K9ac1K14ac0        NaN  0.0173  ...    0.0001    0.0004    0.0002    0.0004   \n",
+       "H3K9me0K14ac1     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me1K14ac1     0.0002     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me2K14ac1     0.0011     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9me3K14ac1     0.0121     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K9ac1K14ac1        NaN   0.029  ...     0.001    0.0013    0.0003    0.0012   \n",
+       "H3K18ac0K23ac0         0     NaN  ...       NaN       NaN       NaN    0.0343   \n",
+       "H3K18ac1K23ac0       NaN     NaN  ...    0.0042    0.0109    0.0012    0.0049   \n",
+       "H3K18ac0K23ac1    0.0001     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K18ac1K23ac1       NaN     NaN  ...     0.012    0.0143    0.0024    0.0219   \n",
+       "H3K18ac0K23ub1       NaN  0.0175  ...       NaN    0.0289    0.0263       NaN   \n",
+       "H3K27me0K36me0     0.035     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me0K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me0K36me2    0.0222     NaN  ...    0.0306    0.0122    0.0016    0.0008   \n",
+       "H3K27me0K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me1K36me0    0.0043     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me1K36me2       NaN     NaN  ...    0.0025    0.0294    0.0011    0.0039   \n",
+       "H3K27me1K36me3    0.0012  0.0177  ...    0.0086    0.0004    0.0008    0.0002   \n",
+       "H3K27me2K36me0    0.0409     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me2K36me1       NaN  0.0078  ...    0.0308    0.0055    0.0044    0.0007   \n",
+       "H3K27me2K36me2       NaN     NaN  ...       NaN    0.0072    0.0147    0.0022   \n",
+       "H3K27me3K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27me3K36me1       NaN     NaN  ...       NaN       NaN       NaN    0.0272   \n",
+       "H3K27ac1K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27ac1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K27ac1K36me2       NaN     NaN  ...    0.0209       NaN    0.0166       NaN   \n",
+       "H3K27ac1K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3.3K27me0K36me0       0     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K56me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K56me1             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K79me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K79me1          0.0415     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "H3K79me2          0.0082     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "\n",
+       "                 C56:4 TAG C56:3 TAG C56:2 TAG C58:8 TAG C58:7 TAG C58:6 TAG  \n",
+       "H3K4me0             0.0015    0.0155    0.0132    0.0494     0.017    0.0085  \n",
+       "H3K4me1             0.0027    0.0056    0.0008     0.001    0.0031    0.0004  \n",
+       "H3K4me2                NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K4ac1                NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me0K14ac0       0.0165    0.0305       NaN       NaN       NaN       NaN  \n",
+       "H3K9me1K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me2K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me3K14ac0       0.0001     0.002    0.0015       NaN       NaN    0.0068  \n",
+       "H3K9ac1K14ac0       0.0446       NaN       NaN    0.0018    0.0026    0.0003  \n",
+       "H3K9me0K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me1K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me2K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9me3K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K9ac1K14ac1          NaN       NaN       NaN    0.0004    0.0005    0.0006  \n",
+       "H3K18ac0K23ac0      0.0109       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K18ac1K23ac0      0.0205       NaN    0.0164    0.0137    0.0068    0.0054  \n",
+       "H3K18ac0K23ac1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K18ac1K23ac1         NaN       NaN       NaN    0.0082    0.0104    0.0181  \n",
+       "H3K18ac0K23ub1         NaN       NaN       NaN    0.0158    0.0215       NaN  \n",
+       "H3K27me0K36me0         NaN       NaN       NaN    0.0493       NaN       NaN  \n",
+       "H3K27me0K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me0K36me2      0.0013       NaN       NaN     0.003     0.008    0.0056  \n",
+       "H3K27me0K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me1K36me2      0.0116    0.0093    0.0109    0.0176    0.0264    0.0031  \n",
+       "H3K27me1K36me3           0    0.0005    0.0009    0.0022    0.0038    0.0005  \n",
+       "H3K27me2K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me2K36me1      0.0015       NaN       NaN    0.0124    0.0365    0.0125  \n",
+       "H3K27me2K36me2      0.0015    0.0248    0.0156    0.0029    0.0161    0.0037  \n",
+       "H3K27me3K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27me3K36me1      0.0202       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27ac1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27ac1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K27ac1K36me2         NaN       NaN       NaN    0.0473    0.0453     0.032  \n",
+       "H3K27ac1K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3.3K27me0K36me0       NaN       NaN    0.0232       NaN       NaN       NaN  \n",
+       "H3K56me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K56me1               NaN       NaN       NaN    0.0385    0.0205       NaN  \n",
+       "H3K79me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K79me1               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "H3K79me2               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "\n",
+       "[42 rows x 225 columns]"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def calculate_pvalues(df,left,right):\n",
+    "    df = df.dropna()._get_numeric_data()\n",
+    "    dfcols = pd.DataFrame(columns=df.columns)\n",
+    "    df1 = left.dropna()._get_numeric_data()\n",
+    "    df2 = right.dropna()._get_numeric_data()\n",
+    "    df1cols = pd.DataFrame(columns=df1.columns)\n",
+    "    df2cols = pd.DataFrame(columns=df2.columns)\n",
+    "    pvalues = dfcols.transpose().join(dfcols, how='outer')\n",
+    "    newpvalues = df2cols.transpose().join(df1cols, how='outer')\n",
+    "    for r in (df.columns):\n",
+    "        for c in (df.columns):\n",
+    "            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)\n",
+    "    for r in (df1.columns):\n",
+    "        for c in (df2.columns):\n",
+    "            if pvalues[r][c] <= 0.05:\n",
+    "                newpvalues[r][c] = pvalues[r][c]\n",
+    "    newpvalues.to_csv('pvalues<0.05.csv')\n",
+    "    return newpvalues\n",
+    "\n",
+    "calculate_pvalues(result,left,right)"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
   },
   "latex_envs": {
    "LaTeX_envs_menu_present": true,

From d9400b817e59f72545597f7e4f338e34790ccdcc Mon Sep 17 00:00:00 2001
From: narnij <47233988+narnij@users.noreply.github.com>
Date: Sat, 3 Oct 2020 21:07:16 -0400
Subject: [PATCH 05/18] Delete metabolite_hm_corr_p.ipynb

---
 src/python/EDA/metabolite_hm_corr_p.ipynb | 2402 ---------------------
 1 file changed, 2402 deletions(-)
 delete mode 100644 src/python/EDA/metabolite_hm_corr_p.ipynb

diff --git a/src/python/EDA/metabolite_hm_corr_p.ipynb b/src/python/EDA/metabolite_hm_corr_p.ipynb
deleted file mode 100644
index b25351c..0000000
--- a/src/python/EDA/metabolite_hm_corr_p.ipynb
+++ /dev/null
@@ -1,2402 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
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-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>CCL</th>\n",
-       "      <th>Tissue</th>\n",
-       "      <th>Medium</th>\n",
-       "      <th>Culture</th>\n",
-       "      <th>2-aminoadipate</th>\n",
-       "      <th>3-phosphoglycerate</th>\n",
-       "      <th>Alpha-glycerophosphate</th>\n",
-       "      <th>4-pyridoxate</th>\n",
-       "      <th>Aconitate</th>\n",
-       "      <th>Adenine</th>\n",
-       "      <th>...</th>\n",
-       "      <th>C56:8 TAG</th>\n",
-       "      <th>C56:7 TAG</th>\n",
-       "      <th>C56:6 TAG</th>\n",
-       "      <th>C56:5 TAG</th>\n",
-       "      <th>C56:4 TAG</th>\n",
-       "      <th>C56:3 TAG</th>\n",
-       "      <th>C56:2 TAG</th>\n",
-       "      <th>C58:8 TAG</th>\n",
-       "      <th>C58:7 TAG</th>\n",
-       "      <th>C58:6 TAG</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>DMS53</td>\n",
-       "      <td>LUNG</td>\n",
-       "      <td>Waymouth</td>\n",
-       "      <td>Adherent</td>\n",
-       "      <td>6.112727</td>\n",
-       "      <td>6.034198</td>\n",
-       "      <td>5.896896</td>\n",
-       "      <td>6.000532</td>\n",
-       "      <td>5.513618</td>\n",
-       "      <td>5.868529</td>\n",
-       "      <td>...</td>\n",
-       "      <td>6.070239</td>\n",
-       "      <td>6.133433</td>\n",
-       "      <td>6.091089</td>\n",
-       "      <td>6.257711</td>\n",
-       "      <td>6.372732</td>\n",
-       "      <td>6.202511</td>\n",
-       "      <td>5.939576</td>\n",
-       "      <td>6.309821</td>\n",
-       "      <td>6.115974</td>\n",
-       "      <td>5.999436</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>SW1116</td>\n",
-       "      <td>LARGE INTESTINE</td>\n",
-       "      <td>L15</td>\n",
-       "      <td>Adherent</td>\n",
-       "      <td>5.577413</td>\n",
-       "      <td>5.727045</td>\n",
-       "      <td>5.111468</td>\n",
-       "      <td>6.073250</td>\n",
-       "      <td>5.802494</td>\n",
-       "      <td>5.824473</td>\n",
-       "      <td>...</td>\n",
-       "      <td>6.248653</td>\n",
-       "      <td>6.633575</td>\n",
-       "      <td>6.378052</td>\n",
-       "      <td>6.341043</td>\n",
-       "      <td>6.360945</td>\n",
-       "      <td>6.333540</td>\n",
-       "      <td>6.137271</td>\n",
-       "      <td>7.065858</td>\n",
-       "      <td>6.832174</td>\n",
-       "      <td>6.363064</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>NCIH1694</td>\n",
-       "      <td>LUNG</td>\n",
-       "      <td>DMEM-F12 wGln</td>\n",
-       "      <td>Suspension</td>\n",
-       "      <td>5.886398</td>\n",
-       "      <td>5.574881</td>\n",
-       "      <td>5.541259</td>\n",
-       "      <td>5.848375</td>\n",
-       "      <td>5.665026</td>\n",
-       "      <td>5.875548</td>\n",
-       "      <td>...</td>\n",
-       "      <td>5.942887</td>\n",
-       "      <td>5.946988</td>\n",
-       "      <td>5.837980</td>\n",
-       "      <td>5.913350</td>\n",
-       "      <td>6.137530</td>\n",
-       "      <td>5.807546</td>\n",
-       "      <td>5.704149</td>\n",
-       "      <td>5.881193</td>\n",
-       "      <td>5.785208</td>\n",
-       "      <td>5.504225</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>P3HR1</td>\n",
-       "      <td>HAEMATOPOIETIC AND LYMPHOID TISSUE</td>\n",
-       "      <td>RPMI</td>\n",
-       "      <td>Empty</td>\n",
-       "      <td>5.770030</td>\n",
-       "      <td>6.099229</td>\n",
-       "      <td>6.233259</td>\n",
-       "      <td>5.543495</td>\n",
-       "      <td>5.767759</td>\n",
-       "      <td>6.155905</td>\n",
-       "      <td>...</td>\n",
-       "      <td>6.516922</td>\n",
-       "      <td>6.113791</td>\n",
-       "      <td>6.282113</td>\n",
-       "      <td>6.248667</td>\n",
-       "      <td>6.109480</td>\n",
-       "      <td>6.043570</td>\n",
-       "      <td>5.846802</td>\n",
-       "      <td>6.429402</td>\n",
-       "      <td>5.779815</td>\n",
-       "      <td>6.241530</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>HUT78</td>\n",
-       "      <td>HAEMATOPOIETIC AND LYMPHOID TISSUE</td>\n",
-       "      <td>RPMI</td>\n",
-       "      <td>Empty</td>\n",
-       "      <td>5.480683</td>\n",
-       "      <td>5.469742</td>\n",
-       "      <td>6.509397</td>\n",
-       "      <td>6.251005</td>\n",
-       "      <td>5.190578</td>\n",
-       "      <td>5.897085</td>\n",
-       "      <td>...</td>\n",
-       "      <td>6.161981</td>\n",
-       "      <td>6.777932</td>\n",
-       "      <td>6.676390</td>\n",
-       "      <td>6.695659</td>\n",
-       "      <td>6.751029</td>\n",
-       "      <td>6.385056</td>\n",
-       "      <td>6.682612</td>\n",
-       "      <td>6.757899</td>\n",
-       "      <td>6.728570</td>\n",
-       "      <td>6.879260</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>5 rows × 229 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "        CCL                              Tissue         Medium     Culture  \\\n",
-       "0     DMS53                                LUNG       Waymouth    Adherent   \n",
-       "1    SW1116                     LARGE INTESTINE            L15    Adherent   \n",
-       "2  NCIH1694                                LUNG  DMEM-F12 wGln  Suspension   \n",
-       "3     P3HR1  HAEMATOPOIETIC AND LYMPHOID TISSUE           RPMI       Empty   \n",
-       "4     HUT78  HAEMATOPOIETIC AND LYMPHOID TISSUE           RPMI       Empty   \n",
-       "\n",
-       "   2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  4-pyridoxate  \\\n",
-       "0        6.112727            6.034198                5.896896      6.000532   \n",
-       "1        5.577413            5.727045                5.111468      6.073250   \n",
-       "2        5.886398            5.574881                5.541259      5.848375   \n",
-       "3        5.770030            6.099229                6.233259      5.543495   \n",
-       "4        5.480683            5.469742                6.509397      6.251005   \n",
-       "\n",
-       "   Aconitate   Adenine  ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  \\\n",
-       "0   5.513618  5.868529  ...   6.070239   6.133433   6.091089   6.257711   \n",
-       "1   5.802494  5.824473  ...   6.248653   6.633575   6.378052   6.341043   \n",
-       "2   5.665026  5.875548  ...   5.942887   5.946988   5.837980   5.913350   \n",
-       "3   5.767759  6.155905  ...   6.516922   6.113791   6.282113   6.248667   \n",
-       "4   5.190578  5.897085  ...   6.161981   6.777932   6.676390   6.695659   \n",
-       "\n",
-       "   C56:4 TAG  C56:3 TAG  C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
-       "0   6.372732   6.202511   5.939576   6.309821   6.115974   5.999436  \n",
-       "1   6.360945   6.333540   6.137271   7.065858   6.832174   6.363064  \n",
-       "2   6.137530   5.807546   5.704149   5.881193   5.785208   5.504225  \n",
-       "3   6.109480   6.043570   5.846802   6.429402   5.779815   6.241530  \n",
-       "4   6.751029   6.385056   6.682612   6.757899   6.728570   6.879260  \n",
-       "\n",
-       "[5 rows x 229 columns]"
-      ]
-     },
-     "execution_count": 1,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "import pandas as pd\n",
-    "import numpy as np\n",
-    "import scipy.stats\n",
-    "from scipy.stats import kendalltau, pearsonr, spearmanr\n",
-    "from scipy import stats\n",
-    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
-    "md.head()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "\n",
-      "\n",
-      "md after deleting column\n",
-      "--------------\n",
-      "          CCL  2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  \\\n",
-      "0       DMS53        6.112727            6.034198                5.896896   \n",
-      "1      SW1116        5.577413            5.727045                5.111468   \n",
-      "2    NCIH1694        5.886398            5.574881                5.541259   \n",
-      "3       P3HR1        5.770030            6.099229                6.233259   \n",
-      "4       HUT78        5.480683            5.469742                6.509397   \n",
-      "..        ...             ...                 ...                     ...   \n",
-      "917     SF268        5.977636            6.026483                6.480536   \n",
-      "918     SF539        5.957233            6.090834                5.323475   \n",
-      "919     SNB75        5.967707            5.931487                5.620542   \n",
-      "920     HOP92        5.962415            5.992640                6.296222   \n",
-      "921     MUTZ3        6.332344            5.812531                5.446330   \n",
-      "\n",
-      "     4-pyridoxate  Aconitate   Adenine   Adipate  Alpha-ketoglutarate  \\\n",
-      "0        6.000532   5.513618  5.868529  5.977177             5.693074   \n",
-      "1        6.073250   5.802494  5.824473  5.888821             5.768379   \n",
-      "2        5.848375   5.665026  5.875548  5.894904             5.839640   \n",
-      "3        5.543495   5.767759  6.155905  6.111148             5.949481   \n",
-      "4        6.251005   5.190578  5.897085  6.148333             5.607481   \n",
-      "..            ...        ...       ...       ...                  ...   \n",
-      "917      6.112056   5.878324  5.732508  5.981183             6.459139   \n",
-      "918      6.145795   5.741201  5.605435  6.184192             6.004195   \n",
-      "919      5.955261   5.935244  5.384674  5.955886             6.239657   \n",
-      "920      5.916386   6.043984  5.883976  5.954731             6.181054   \n",
-      "921      6.469052   5.501232  6.469954  6.136017             5.479015   \n",
-      "\n",
-      "          AMP  ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  C56:4 TAG  \\\n",
-      "0    5.923737  ...   6.070239   6.133433   6.091089   6.257711   6.372732   \n",
-      "1    5.760784  ...   6.248653   6.633575   6.378052   6.341043   6.360945   \n",
-      "2    5.742613  ...   5.942887   5.946988   5.837980   5.913350   6.137530   \n",
-      "3    6.342703  ...   6.516922   6.113791   6.282113   6.248667   6.109480   \n",
-      "4    5.871600  ...   6.161981   6.777932   6.676390   6.695659   6.751029   \n",
-      "..        ...  ...        ...        ...        ...        ...        ...   \n",
-      "917  5.642855  ...   5.547818   5.703861   5.581725   5.506887   5.362247   \n",
-      "918  5.663866  ...   5.713210   5.651439   5.720680   5.387960   5.275798   \n",
-      "919  5.527619  ...   5.605403   5.317500   5.630315   5.433324   5.330957   \n",
-      "920  5.820966  ...   5.949798   6.249271   6.248746   6.130000   5.873297   \n",
-      "921  5.694210  ...   6.588558   6.548211   6.667652   6.868391   6.598519   \n",
-      "\n",
-      "     C56:3 TAG  C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
-      "0     6.202511   5.939576   6.309821   6.115974   5.999436  \n",
-      "1     6.333540   6.137271   7.065858   6.832174   6.363064  \n",
-      "2     5.807546   5.704149   5.881193   5.785208   5.504225  \n",
-      "3     6.043570   5.846802   6.429402   5.779815   6.241530  \n",
-      "4     6.385056   6.682612   6.757899   6.728570   6.879260  \n",
-      "..         ...        ...        ...        ...        ...  \n",
-      "917   5.322091   5.556126   5.544802   4.897559   5.506999  \n",
-      "918   5.289684   5.494241   5.533795   5.139488   5.452544  \n",
-      "919   5.481404   5.570553   5.146598   5.010639   5.114385  \n",
-      "920   5.826041   5.997694   6.411166   6.105394   6.387275  \n",
-      "921   5.956474   6.022471   6.862916   7.045115   6.841075  \n",
-      "\n",
-      "[922 rows x 226 columns]\n"
-     ]
-    }
-   ],
-   "source": [
-    "\n",
-    "metabolites = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
-    "print('\\n\\nmd after deleting column\\n--------------')\n",
-    "print(metabolites)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
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-       "\n",
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-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>Cell Line</th>\n",
-       "      <th>H3K4me0</th>\n",
-       "      <th>H3K4me1</th>\n",
-       "      <th>H3K4me2</th>\n",
-       "      <th>H3K4ac1</th>\n",
-       "      <th>H3K9me0K14ac0</th>\n",
-       "      <th>H3K9me1K14ac0</th>\n",
-       "      <th>H3K9me2K14ac0</th>\n",
-       "      <th>H3K9me3K14ac0</th>\n",
-       "      <th>H3K9ac1K14ac0</th>\n",
-       "      <th>...</th>\n",
-       "      <th>H3K27ac1K36me0</th>\n",
-       "      <th>H3K27ac1K36me1</th>\n",
-       "      <th>H3K27ac1K36me2</th>\n",
-       "      <th>H3K27ac1K36me3</th>\n",
-       "      <th>H3.3K27me0K36me0</th>\n",
-       "      <th>H3K56me0</th>\n",
-       "      <th>H3K56me1</th>\n",
-       "      <th>H3K79me0</th>\n",
-       "      <th>H3K79me1</th>\n",
-       "      <th>H3K79me2</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>DMS53</td>\n",
-       "      <td>0.116020</td>\n",
-       "      <td>-0.153144</td>\n",
-       "      <td>-0.348607</td>\n",
-       "      <td>-1.417128</td>\n",
-       "      <td>-1.281177</td>\n",
-       "      <td>-0.719707</td>\n",
-       "      <td>-0.208080</td>\n",
-       "      <td>-0.033416</td>\n",
-       "      <td>-0.967821</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.396178</td>\n",
-       "      <td>1.261963</td>\n",
-       "      <td>0.492776</td>\n",
-       "      <td>-0.211349</td>\n",
-       "      <td>-0.554973</td>\n",
-       "      <td>-0.222912</td>\n",
-       "      <td>-0.310910</td>\n",
-       "      <td>-0.272655</td>\n",
-       "      <td>0.271469</td>\n",
-       "      <td>0.469647</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>SW1116</td>\n",
-       "      <td>-0.058624</td>\n",
-       "      <td>0.219592</td>\n",
-       "      <td>0.110946</td>\n",
-       "      <td>-0.170282</td>\n",
-       "      <td>0.334630</td>\n",
-       "      <td>0.497303</td>\n",
-       "      <td>0.307907</td>\n",
-       "      <td>-0.466686</td>\n",
-       "      <td>0.062518</td>\n",
-       "      <td>...</td>\n",
-       "      <td>-1.198709</td>\n",
-       "      <td>-1.394997</td>\n",
-       "      <td>-1.123119</td>\n",
-       "      <td>-1.501911</td>\n",
-       "      <td>-0.180229</td>\n",
-       "      <td>-0.075173</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.051018</td>\n",
-       "      <td>0.099032</td>\n",
-       "      <td>0.169761</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>NCIH1694</td>\n",
-       "      <td>0.480909</td>\n",
-       "      <td>0.298440</td>\n",
-       "      <td>0.073777</td>\n",
-       "      <td>0.413953</td>\n",
-       "      <td>-0.479543</td>\n",
-       "      <td>0.133280</td>\n",
-       "      <td>0.053279</td>\n",
-       "      <td>-0.220467</td>\n",
-       "      <td>-0.427160</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.055683</td>\n",
-       "      <td>-0.659294</td>\n",
-       "      <td>0.114288</td>\n",
-       "      <td>-1.289012</td>\n",
-       "      <td>0.280396</td>\n",
-       "      <td>0.117564</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.185984</td>\n",
-       "      <td>0.191760</td>\n",
-       "      <td>-0.437561</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>P3HR1</td>\n",
-       "      <td>-0.079957</td>\n",
-       "      <td>-0.617656</td>\n",
-       "      <td>-0.566702</td>\n",
-       "      <td>0.079932</td>\n",
-       "      <td>0.373140</td>\n",
-       "      <td>0.159682</td>\n",
-       "      <td>0.060946</td>\n",
-       "      <td>-0.181112</td>\n",
-       "      <td>0.208328</td>\n",
-       "      <td>...</td>\n",
-       "      <td>1.098303</td>\n",
-       "      <td>0.381884</td>\n",
-       "      <td>0.258282</td>\n",
-       "      <td>0.751323</td>\n",
-       "      <td>0.031194</td>\n",
-       "      <td>-0.199316</td>\n",
-       "      <td>0.037929</td>\n",
-       "      <td>0.003978</td>\n",
-       "      <td>-0.225147</td>\n",
-       "      <td>-0.061445</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>HUT78</td>\n",
-       "      <td>-0.059965</td>\n",
-       "      <td>-0.063483</td>\n",
-       "      <td>-0.267980</td>\n",
-       "      <td>0.357422</td>\n",
-       "      <td>0.075651</td>\n",
-       "      <td>0.047830</td>\n",
-       "      <td>0.115243</td>\n",
-       "      <td>-0.498239</td>\n",
-       "      <td>-0.059567</td>\n",
-       "      <td>...</td>\n",
-       "      <td>-0.185237</td>\n",
-       "      <td>0.239421</td>\n",
-       "      <td>0.358072</td>\n",
-       "      <td>-0.176527</td>\n",
-       "      <td>-0.351188</td>\n",
-       "      <td>0.037021</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.045495</td>\n",
-       "      <td>-0.153684</td>\n",
-       "      <td>-0.106306</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>5 rows × 43 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "  Cell Line   H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  \\\n",
-       "0     DMS53  0.116020 -0.153144 -0.348607 -1.417128      -1.281177   \n",
-       "1    SW1116 -0.058624  0.219592  0.110946 -0.170282       0.334630   \n",
-       "2  NCIH1694  0.480909  0.298440  0.073777  0.413953      -0.479543   \n",
-       "3     P3HR1 -0.079957 -0.617656 -0.566702  0.079932       0.373140   \n",
-       "4     HUT78 -0.059965 -0.063483 -0.267980  0.357422       0.075651   \n",
-       "\n",
-       "   H3K9me1K14ac0  H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  ...  \\\n",
-       "0      -0.719707      -0.208080      -0.033416      -0.967821  ...   \n",
-       "1       0.497303       0.307907      -0.466686       0.062518  ...   \n",
-       "2       0.133280       0.053279      -0.220467      -0.427160  ...   \n",
-       "3       0.159682       0.060946      -0.181112       0.208328  ...   \n",
-       "4       0.047830       0.115243      -0.498239      -0.059567  ...   \n",
-       "\n",
-       "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
-       "0        0.396178        1.261963        0.492776       -0.211349   \n",
-       "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
-       "2        0.055683       -0.659294        0.114288       -1.289012   \n",
-       "3        1.098303        0.381884        0.258282        0.751323   \n",
-       "4       -0.185237        0.239421        0.358072       -0.176527   \n",
-       "\n",
-       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
-       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
-       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
-       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
-       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
-       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
-       "\n",
-       "[5 rows x 43 columns]"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
-    "hm.head()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>CCL</th>\n",
-       "      <th>2-aminoadipate</th>\n",
-       "      <th>3-phosphoglycerate</th>\n",
-       "      <th>Alpha-glycerophosphate</th>\n",
-       "      <th>4-pyridoxate</th>\n",
-       "      <th>Aconitate</th>\n",
-       "      <th>Adenine</th>\n",
-       "      <th>Adipate</th>\n",
-       "      <th>Alpha-ketoglutarate</th>\n",
-       "      <th>AMP</th>\n",
-       "      <th>...</th>\n",
-       "      <th>H3K27ac1K36me0</th>\n",
-       "      <th>H3K27ac1K36me1</th>\n",
-       "      <th>H3K27ac1K36me2</th>\n",
-       "      <th>H3K27ac1K36me3</th>\n",
-       "      <th>H3.3K27me0K36me0</th>\n",
-       "      <th>H3K56me0</th>\n",
-       "      <th>H3K56me1</th>\n",
-       "      <th>H3K79me0</th>\n",
-       "      <th>H3K79me1</th>\n",
-       "      <th>H3K79me2</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>DMS53</td>\n",
-       "      <td>6.112727</td>\n",
-       "      <td>6.034198</td>\n",
-       "      <td>5.896896</td>\n",
-       "      <td>6.000532</td>\n",
-       "      <td>5.513618</td>\n",
-       "      <td>5.868529</td>\n",
-       "      <td>5.977177</td>\n",
-       "      <td>5.693074</td>\n",
-       "      <td>5.923737</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.396178</td>\n",
-       "      <td>1.261963</td>\n",
-       "      <td>0.492776</td>\n",
-       "      <td>-0.211349</td>\n",
-       "      <td>-0.554973</td>\n",
-       "      <td>-0.222912</td>\n",
-       "      <td>-0.310910</td>\n",
-       "      <td>-0.272655</td>\n",
-       "      <td>0.271469</td>\n",
-       "      <td>0.469647</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>SW1116</td>\n",
-       "      <td>5.577413</td>\n",
-       "      <td>5.727045</td>\n",
-       "      <td>5.111468</td>\n",
-       "      <td>6.073250</td>\n",
-       "      <td>5.802494</td>\n",
-       "      <td>5.824473</td>\n",
-       "      <td>5.888821</td>\n",
-       "      <td>5.768379</td>\n",
-       "      <td>5.760784</td>\n",
-       "      <td>...</td>\n",
-       "      <td>-1.198709</td>\n",
-       "      <td>-1.394997</td>\n",
-       "      <td>-1.123119</td>\n",
-       "      <td>-1.501911</td>\n",
-       "      <td>-0.180229</td>\n",
-       "      <td>-0.075173</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.051018</td>\n",
-       "      <td>0.099032</td>\n",
-       "      <td>0.169761</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>NCIH1694</td>\n",
-       "      <td>5.886398</td>\n",
-       "      <td>5.574881</td>\n",
-       "      <td>5.541259</td>\n",
-       "      <td>5.848375</td>\n",
-       "      <td>5.665026</td>\n",
-       "      <td>5.875548</td>\n",
-       "      <td>5.894904</td>\n",
-       "      <td>5.839640</td>\n",
-       "      <td>5.742613</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.055683</td>\n",
-       "      <td>-0.659294</td>\n",
-       "      <td>0.114288</td>\n",
-       "      <td>-1.289012</td>\n",
-       "      <td>0.280396</td>\n",
-       "      <td>0.117564</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.185984</td>\n",
-       "      <td>0.191760</td>\n",
-       "      <td>-0.437561</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>P3HR1</td>\n",
-       "      <td>5.770030</td>\n",
-       "      <td>6.099229</td>\n",
-       "      <td>6.233259</td>\n",
-       "      <td>5.543495</td>\n",
-       "      <td>5.767759</td>\n",
-       "      <td>6.155905</td>\n",
-       "      <td>6.111148</td>\n",
-       "      <td>5.949481</td>\n",
-       "      <td>6.342703</td>\n",
-       "      <td>...</td>\n",
-       "      <td>1.098303</td>\n",
-       "      <td>0.381884</td>\n",
-       "      <td>0.258282</td>\n",
-       "      <td>0.751323</td>\n",
-       "      <td>0.031194</td>\n",
-       "      <td>-0.199316</td>\n",
-       "      <td>0.037929</td>\n",
-       "      <td>0.003978</td>\n",
-       "      <td>-0.225147</td>\n",
-       "      <td>-0.061445</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>HUT78</td>\n",
-       "      <td>5.480683</td>\n",
-       "      <td>5.469742</td>\n",
-       "      <td>6.509397</td>\n",
-       "      <td>6.251005</td>\n",
-       "      <td>5.190578</td>\n",
-       "      <td>5.897085</td>\n",
-       "      <td>6.148333</td>\n",
-       "      <td>5.607481</td>\n",
-       "      <td>5.871600</td>\n",
-       "      <td>...</td>\n",
-       "      <td>-0.185237</td>\n",
-       "      <td>0.239421</td>\n",
-       "      <td>0.358072</td>\n",
-       "      <td>-0.176527</td>\n",
-       "      <td>-0.351188</td>\n",
-       "      <td>0.037021</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.045495</td>\n",
-       "      <td>-0.153684</td>\n",
-       "      <td>-0.106306</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>5 rows × 269 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "        CCL  2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  \\\n",
-       "0     DMS53        6.112727            6.034198                5.896896   \n",
-       "1    SW1116        5.577413            5.727045                5.111468   \n",
-       "2  NCIH1694        5.886398            5.574881                5.541259   \n",
-       "3     P3HR1        5.770030            6.099229                6.233259   \n",
-       "4     HUT78        5.480683            5.469742                6.509397   \n",
-       "\n",
-       "   4-pyridoxate  Aconitate   Adenine   Adipate  Alpha-ketoglutarate       AMP  \\\n",
-       "0      6.000532   5.513618  5.868529  5.977177             5.693074  5.923737   \n",
-       "1      6.073250   5.802494  5.824473  5.888821             5.768379  5.760784   \n",
-       "2      5.848375   5.665026  5.875548  5.894904             5.839640  5.742613   \n",
-       "3      5.543495   5.767759  6.155905  6.111148             5.949481  6.342703   \n",
-       "4      6.251005   5.190578  5.897085  6.148333             5.607481  5.871600   \n",
-       "\n",
-       "   ...  H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
-       "0  ...        0.396178        1.261963        0.492776       -0.211349   \n",
-       "1  ...       -1.198709       -1.394997       -1.123119       -1.501911   \n",
-       "2  ...        0.055683       -0.659294        0.114288       -1.289012   \n",
-       "3  ...        1.098303        0.381884        0.258282        0.751323   \n",
-       "4  ...       -0.185237        0.239421        0.358072       -0.176527   \n",
-       "\n",
-       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
-       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
-       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
-       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
-       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
-       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
-       "\n",
-       "[5 rows x 269 columns]"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "result = metabolites.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
-    "result.head()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "<class 'pandas.core.frame.DataFrame'>\n",
-      "RangeIndex: 922 entries, 0 to 921\n",
-      "Columns: 226 entries, CCL to C58:6 TAG\n",
-      "dtypes: float64(225), object(1)\n",
-      "memory usage: 1.6+ MB\n",
-      "\n",
-      "\n",
-      "<class 'pandas.core.frame.DataFrame'>\n",
-      "RangeIndex: 866 entries, 0 to 865\n",
-      "Data columns (total 43 columns):\n",
-      " #   Column            Non-Null Count  Dtype  \n",
-      "---  ------            --------------  -----  \n",
-      " 0   Cell Line         866 non-null    object \n",
-      " 1   H3K4me0           865 non-null    float64\n",
-      " 2   H3K4me1           866 non-null    float64\n",
-      " 3   H3K4me2           865 non-null    float64\n",
-      " 4   H3K4ac1           790 non-null    float64\n",
-      " 5   H3K9me0K14ac0     866 non-null    float64\n",
-      " 6   H3K9me1K14ac0     866 non-null    float64\n",
-      " 7   H3K9me2K14ac0     865 non-null    float64\n",
-      " 8   H3K9me3K14ac0     864 non-null    float64\n",
-      " 9   H3K9ac1K14ac0     865 non-null    float64\n",
-      " 10  H3K9me0K14ac1     866 non-null    float64\n",
-      " 11  H3K9me1K14ac1     866 non-null    float64\n",
-      " 12  H3K9me2K14ac1     865 non-null    float64\n",
-      " 13  H3K9me3K14ac1     866 non-null    float64\n",
-      " 14  H3K9ac1K14ac1     866 non-null    float64\n",
-      " 15  H3K18ac0K23ac0    865 non-null    float64\n",
-      " 16  H3K18ac1K23ac0    866 non-null    float64\n",
-      " 17  H3K18ac0K23ac1    866 non-null    float64\n",
-      " 18  H3K18ac1K23ac1    866 non-null    float64\n",
-      " 19  H3K18ac0K23ub1    538 non-null    float64\n",
-      " 20  H3K27me0K36me0    866 non-null    float64\n",
-      " 21  H3K27me0K36me1    865 non-null    float64\n",
-      " 22  H3K27me0K36me2    865 non-null    float64\n",
-      " 23  H3K27me0K36me3    865 non-null    float64\n",
-      " 24  H3K27me1K36me0    865 non-null    float64\n",
-      " 25  H3K27me1K36me1    865 non-null    float64\n",
-      " 26  H3K27me1K36me2    866 non-null    float64\n",
-      " 27  H3K27me1K36me3    866 non-null    float64\n",
-      " 28  H3K27me2K36me0    865 non-null    float64\n",
-      " 29  H3K27me2K36me1    865 non-null    float64\n",
-      " 30  H3K27me2K36me2    866 non-null    float64\n",
-      " 31  H3K27me3K36me0    865 non-null    float64\n",
-      " 32  H3K27me3K36me1    865 non-null    float64\n",
-      " 33  H3K27ac1K36me0    858 non-null    float64\n",
-      " 34  H3K27ac1K36me1    825 non-null    float64\n",
-      " 35  H3K27ac1K36me2    855 non-null    float64\n",
-      " 36  H3K27ac1K36me3    861 non-null    float64\n",
-      " 37  H3.3K27me0K36me0  865 non-null    float64\n",
-      " 38  H3K56me0          866 non-null    float64\n",
-      " 39  H3K56me1          531 non-null    float64\n",
-      " 40  H3K79me0          866 non-null    float64\n",
-      " 41  H3K79me1          861 non-null    float64\n",
-      " 42  H3K79me2          860 non-null    float64\n",
-      "dtypes: float64(42), object(1)\n",
-      "memory usage: 291.0+ KB\n",
-      "\n",
-      "\n",
-      "<class 'pandas.core.frame.DataFrame'>\n",
-      "Int64Index: 863 entries, 0 to 862\n",
-      "Columns: 269 entries, CCL to H3K79me2\n",
-      "dtypes: float64(267), object(2)\n",
-      "memory usage: 1.8+ MB\n"
-     ]
-    }
-   ],
-   "source": [
-    "metabolites.info()\n",
-    "print('\\n')\n",
-    "hm.info()\n",
-    "print('\\n')\n",
-    "result.info()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "<class 'pandas.core.frame.DataFrame'>\n",
-      "Int64Index: 863 entries, 0 to 862\n",
-      "Columns: 225 entries, 2-aminoadipate to C58:6 TAG\n",
-      "dtypes: float64(225)\n",
-      "memory usage: 1.5 MB\n"
-     ]
-    }
-   ],
-   "source": [
-    "left = result.iloc[:,1:226]\n",
-    "\n",
-    "left.info()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
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-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
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-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>H3K4me0</th>\n",
-       "      <th>H3K4me1</th>\n",
-       "      <th>H3K4me2</th>\n",
-       "      <th>H3K4ac1</th>\n",
-       "      <th>H3K9me0K14ac0</th>\n",
-       "      <th>H3K9me1K14ac0</th>\n",
-       "      <th>H3K9me2K14ac0</th>\n",
-       "      <th>H3K9me3K14ac0</th>\n",
-       "      <th>H3K9ac1K14ac0</th>\n",
-       "      <th>H3K9me0K14ac1</th>\n",
-       "      <th>...</th>\n",
-       "      <th>H3K27ac1K36me0</th>\n",
-       "      <th>H3K27ac1K36me1</th>\n",
-       "      <th>H3K27ac1K36me2</th>\n",
-       "      <th>H3K27ac1K36me3</th>\n",
-       "      <th>H3.3K27me0K36me0</th>\n",
-       "      <th>H3K56me0</th>\n",
-       "      <th>H3K56me1</th>\n",
-       "      <th>H3K79me0</th>\n",
-       "      <th>H3K79me1</th>\n",
-       "      <th>H3K79me2</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>0.116020</td>\n",
-       "      <td>-0.153144</td>\n",
-       "      <td>-0.348607</td>\n",
-       "      <td>-1.417128</td>\n",
-       "      <td>-1.281177</td>\n",
-       "      <td>-0.719707</td>\n",
-       "      <td>-0.208080</td>\n",
-       "      <td>-0.033416</td>\n",
-       "      <td>-0.967821</td>\n",
-       "      <td>-1.150058</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.396178</td>\n",
-       "      <td>1.261963</td>\n",
-       "      <td>0.492776</td>\n",
-       "      <td>-0.211349</td>\n",
-       "      <td>-0.554973</td>\n",
-       "      <td>-0.222912</td>\n",
-       "      <td>-0.310910</td>\n",
-       "      <td>-0.272655</td>\n",
-       "      <td>0.271469</td>\n",
-       "      <td>0.469647</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>-0.058624</td>\n",
-       "      <td>0.219592</td>\n",
-       "      <td>0.110946</td>\n",
-       "      <td>-0.170282</td>\n",
-       "      <td>0.334630</td>\n",
-       "      <td>0.497303</td>\n",
-       "      <td>0.307907</td>\n",
-       "      <td>-0.466686</td>\n",
-       "      <td>0.062518</td>\n",
-       "      <td>-0.517698</td>\n",
-       "      <td>...</td>\n",
-       "      <td>-1.198709</td>\n",
-       "      <td>-1.394997</td>\n",
-       "      <td>-1.123119</td>\n",
-       "      <td>-1.501911</td>\n",
-       "      <td>-0.180229</td>\n",
-       "      <td>-0.075173</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.051018</td>\n",
-       "      <td>0.099032</td>\n",
-       "      <td>0.169761</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>0.480909</td>\n",
-       "      <td>0.298440</td>\n",
-       "      <td>0.073777</td>\n",
-       "      <td>0.413953</td>\n",
-       "      <td>-0.479543</td>\n",
-       "      <td>0.133280</td>\n",
-       "      <td>0.053279</td>\n",
-       "      <td>-0.220467</td>\n",
-       "      <td>-0.427160</td>\n",
-       "      <td>0.215504</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.055683</td>\n",
-       "      <td>-0.659294</td>\n",
-       "      <td>0.114288</td>\n",
-       "      <td>-1.289012</td>\n",
-       "      <td>0.280396</td>\n",
-       "      <td>0.117564</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.185984</td>\n",
-       "      <td>0.191760</td>\n",
-       "      <td>-0.437561</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>-0.079957</td>\n",
-       "      <td>-0.617656</td>\n",
-       "      <td>-0.566702</td>\n",
-       "      <td>0.079932</td>\n",
-       "      <td>0.373140</td>\n",
-       "      <td>0.159682</td>\n",
-       "      <td>0.060946</td>\n",
-       "      <td>-0.181112</td>\n",
-       "      <td>0.208328</td>\n",
-       "      <td>0.182229</td>\n",
-       "      <td>...</td>\n",
-       "      <td>1.098303</td>\n",
-       "      <td>0.381884</td>\n",
-       "      <td>0.258282</td>\n",
-       "      <td>0.751323</td>\n",
-       "      <td>0.031194</td>\n",
-       "      <td>-0.199316</td>\n",
-       "      <td>0.037929</td>\n",
-       "      <td>0.003978</td>\n",
-       "      <td>-0.225147</td>\n",
-       "      <td>-0.061445</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>-0.059965</td>\n",
-       "      <td>-0.063483</td>\n",
-       "      <td>-0.267980</td>\n",
-       "      <td>0.357422</td>\n",
-       "      <td>0.075651</td>\n",
-       "      <td>0.047830</td>\n",
-       "      <td>0.115243</td>\n",
-       "      <td>-0.498239</td>\n",
-       "      <td>-0.059567</td>\n",
-       "      <td>0.845077</td>\n",
-       "      <td>...</td>\n",
-       "      <td>-0.185237</td>\n",
-       "      <td>0.239421</td>\n",
-       "      <td>0.358072</td>\n",
-       "      <td>-0.176527</td>\n",
-       "      <td>-0.351188</td>\n",
-       "      <td>0.037021</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.045495</td>\n",
-       "      <td>-0.153684</td>\n",
-       "      <td>-0.106306</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>5 rows × 42 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "    H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  H3K9me1K14ac0  \\\n",
-       "0  0.116020 -0.153144 -0.348607 -1.417128      -1.281177      -0.719707   \n",
-       "1 -0.058624  0.219592  0.110946 -0.170282       0.334630       0.497303   \n",
-       "2  0.480909  0.298440  0.073777  0.413953      -0.479543       0.133280   \n",
-       "3 -0.079957 -0.617656 -0.566702  0.079932       0.373140       0.159682   \n",
-       "4 -0.059965 -0.063483 -0.267980  0.357422       0.075651       0.047830   \n",
-       "\n",
-       "   H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  H3K9me0K14ac1  ...  \\\n",
-       "0      -0.208080      -0.033416      -0.967821      -1.150058  ...   \n",
-       "1       0.307907      -0.466686       0.062518      -0.517698  ...   \n",
-       "2       0.053279      -0.220467      -0.427160       0.215504  ...   \n",
-       "3       0.060946      -0.181112       0.208328       0.182229  ...   \n",
-       "4       0.115243      -0.498239      -0.059567       0.845077  ...   \n",
-       "\n",
-       "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
-       "0        0.396178        1.261963        0.492776       -0.211349   \n",
-       "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
-       "2        0.055683       -0.659294        0.114288       -1.289012   \n",
-       "3        1.098303        0.381884        0.258282        0.751323   \n",
-       "4       -0.185237        0.239421        0.358072       -0.176527   \n",
-       "\n",
-       "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
-       "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
-       "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
-       "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
-       "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
-       "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
-       "\n",
-       "[5 rows x 42 columns]"
-      ]
-     },
-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "right = result.iloc[:,227:269]\n",
-    "\n",
-    "right.head()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr = pd.concat([left, right], axis=1, keys=['left', 'right']).corr().loc['left', 'right']"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr.to_csv('corr.csv')"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr2 = pd.concat([metabolites, hm], axis=1, keys=['metabolites', 'hm']).corr().loc['metabolites', 'hm']\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr2.to_csv('corr2.csv')"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 48,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>2-aminoadipate</th>\n",
-       "      <th>3-phosphoglycerate</th>\n",
-       "      <th>Alpha-glycerophosphate</th>\n",
-       "      <th>4-pyridoxate</th>\n",
-       "      <th>Aconitate</th>\n",
-       "      <th>Adenine</th>\n",
-       "      <th>Adipate</th>\n",
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-       "      <th>Citrate</th>\n",
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-       "      <th>C56:8 TAG</th>\n",
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-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>H3K4me0</th>\n",
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-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0051</td>\n",
-       "      <td>0.0017</td>\n",
-       "      <td>0.0014</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>0.0155</td>\n",
-       "      <td>0.0132</td>\n",
-       "      <td>0.0494</td>\n",
-       "      <td>0.017</td>\n",
-       "      <td>0.0085</td>\n",
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-       "    <tr>\n",
-       "      <th>H3K4me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0135</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.01</td>\n",
-       "      <td>0.0289</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0009</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.0027</td>\n",
-       "      <td>0.0056</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.001</td>\n",
-       "      <td>0.0031</td>\n",
-       "      <td>0.0004</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K4me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K4ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0342</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
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-       "      <th>H3K9me0K14ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0153</td>\n",
-       "      <td>0.0193</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0165</td>\n",
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-       "      <td>NaN</td>\n",
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-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
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-       "      <th>H3K9me2K14ac0</th>\n",
-       "      <td>NaN</td>\n",
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-       "      <td>0.0008</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me3K14ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0027</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0102</td>\n",
-       "      <td>0.0172</td>\n",
-       "      <td>0.0372</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0025</td>\n",
-       "      <td>0.0384</td>\n",
-       "      <td>0.0064</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>0.0001</td>\n",
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-       "      <td>0.0068</td>\n",
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-       "    <tr>\n",
-       "      <th>H3K9ac1K14ac0</th>\n",
-       "      <td>0.0391</td>\n",
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-       "      <td>NaN</td>\n",
-       "      <td>0.0016</td>\n",
-       "      <td>0.0005</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0173</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0001</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0446</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0018</td>\n",
-       "      <td>0.0026</td>\n",
-       "      <td>0.0003</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me0K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0077</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0006</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me1K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0017</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me2K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.002</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0456</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0011</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me3K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0127</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0121</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9ac1K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0335</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.029</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.001</td>\n",
-       "      <td>0.0013</td>\n",
-       "      <td>0.0003</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0005</td>\n",
-       "      <td>0.0006</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac0K23ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.034</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0343</td>\n",
-       "      <td>0.0109</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac1K23ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0239</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0042</td>\n",
-       "      <td>0.0109</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>0.0049</td>\n",
-       "      <td>0.0205</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0164</td>\n",
-       "      <td>0.0137</td>\n",
-       "      <td>0.0068</td>\n",
-       "      <td>0.0054</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac0K23ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0003</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0001</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac1K23ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0032</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.012</td>\n",
-       "      <td>0.0143</td>\n",
-       "      <td>0.0024</td>\n",
-       "      <td>0.0219</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0082</td>\n",
-       "      <td>0.0104</td>\n",
-       "      <td>0.0181</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac0K23ub1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0075</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.016</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0175</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0289</td>\n",
-       "      <td>0.0263</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0158</td>\n",
-       "      <td>0.0215</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me0K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0368</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.035</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0493</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me0K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me0K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0018</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0021</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0222</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0306</td>\n",
-       "      <td>0.0122</td>\n",
-       "      <td>0.0016</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.0013</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.003</td>\n",
-       "      <td>0.008</td>\n",
-       "      <td>0.0056</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me0K36me3</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me1K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0043</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me1K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me1K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0419</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0025</td>\n",
-       "      <td>0.0294</td>\n",
-       "      <td>0.0011</td>\n",
-       "      <td>0.0039</td>\n",
-       "      <td>0.0116</td>\n",
-       "      <td>0.0093</td>\n",
-       "      <td>0.0109</td>\n",
-       "      <td>0.0176</td>\n",
-       "      <td>0.0264</td>\n",
-       "      <td>0.0031</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me1K36me3</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.03</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0484</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>0.0177</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0086</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0005</td>\n",
-       "      <td>0.0009</td>\n",
-       "      <td>0.0022</td>\n",
-       "      <td>0.0038</td>\n",
-       "      <td>0.0005</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me2K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0409</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me2K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0042</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0078</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0308</td>\n",
-       "      <td>0.0055</td>\n",
-       "      <td>0.0044</td>\n",
-       "      <td>0.0007</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0124</td>\n",
-       "      <td>0.0365</td>\n",
-       "      <td>0.0125</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me2K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0154</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0072</td>\n",
-       "      <td>0.0147</td>\n",
-       "      <td>0.0022</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>0.0248</td>\n",
-       "      <td>0.0156</td>\n",
-       "      <td>0.0029</td>\n",
-       "      <td>0.0161</td>\n",
-       "      <td>0.0037</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me3K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me3K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0272</td>\n",
-       "      <td>0.0202</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27ac1K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0465</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27ac1K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0107</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0415</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27ac1K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0061</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0064</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0209</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0166</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0473</td>\n",
-       "      <td>0.0453</td>\n",
-       "      <td>0.032</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27ac1K36me3</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0132</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3.3K27me0K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0031</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0007</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0232</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K56me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K56me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0293</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0385</td>\n",
-       "      <td>0.0205</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K79me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K79me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0434</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0415</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K79me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.032</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0313</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0352</td>\n",
-       "      <td>0.0082</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>42 rows × 225 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                 2-aminoadipate 3-phosphoglycerate Alpha-glycerophosphate  \\\n",
-       "H3K4me0                     NaN                NaN                    NaN   \n",
-       "H3K4me1                     NaN                NaN                    NaN   \n",
-       "H3K4me2                     NaN                NaN                 0.0012   \n",
-       "H3K4ac1                     NaN                NaN                 0.0002   \n",
-       "H3K9me0K14ac0               NaN                NaN                    NaN   \n",
-       "H3K9me1K14ac0               NaN                NaN                 0.0437   \n",
-       "H3K9me2K14ac0               NaN                NaN                    NaN   \n",
-       "H3K9me3K14ac0               NaN             0.0027                    NaN   \n",
-       "H3K9ac1K14ac0            0.0391                NaN                    NaN   \n",
-       "H3K9me0K14ac1               NaN                NaN                 0.0077   \n",
-       "H3K9me1K14ac1               NaN                NaN                 0.0017   \n",
-       "H3K9me2K14ac1               NaN                NaN                  0.002   \n",
-       "H3K9me3K14ac1               NaN                NaN                 0.0127   \n",
-       "H3K9ac1K14ac1               NaN                NaN                    NaN   \n",
-       "H3K18ac0K23ac0              NaN                NaN                    NaN   \n",
-       "H3K18ac1K23ac0              NaN                NaN                    NaN   \n",
-       "H3K18ac0K23ac1              NaN                NaN                 0.0003   \n",
-       "H3K18ac1K23ac1              NaN                NaN                 0.0032   \n",
-       "H3K18ac0K23ub1              NaN                NaN                    NaN   \n",
-       "H3K27me0K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me0K36me1              NaN                NaN                    NaN   \n",
-       "H3K27me0K36me2              NaN                NaN                 0.0018   \n",
-       "H3K27me0K36me3              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me1              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me2              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me3              NaN                NaN                   0.03   \n",
-       "H3K27me2K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me2K36me1              NaN                NaN                    NaN   \n",
-       "H3K27me2K36me2              NaN                NaN                    NaN   \n",
-       "H3K27me3K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me3K36me1              NaN                NaN                    NaN   \n",
-       "H3K27ac1K36me0              NaN             0.0465                    NaN   \n",
-       "H3K27ac1K36me1              NaN             0.0107                    NaN   \n",
-       "H3K27ac1K36me2              NaN             0.0061                    NaN   \n",
-       "H3K27ac1K36me3              NaN                NaN                 0.0132   \n",
-       "H3.3K27me0K36me0            NaN                NaN                 0.0031   \n",
-       "H3K56me0                    NaN                NaN                    NaN   \n",
-       "H3K56me1                    NaN                NaN                 0.0293   \n",
-       "H3K79me0                    NaN                NaN                    NaN   \n",
-       "H3K79me1                    NaN                NaN                 0.0434   \n",
-       "H3K79me2                    NaN                NaN                  0.032   \n",
-       "\n",
-       "                 4-pyridoxate Aconitate Adenine Adipate Alpha-ketoglutarate  \\\n",
-       "H3K4me0                   NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K4me1                   NaN    0.0135     NaN     NaN                0.01   \n",
-       "H3K4me2                   NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K4ac1                   NaN       NaN     NaN  0.0342                 NaN   \n",
-       "H3K9me0K14ac0             NaN    0.0153  0.0193     NaN                 NaN   \n",
-       "H3K9me1K14ac0             NaN       NaN  0.0076     NaN                 NaN   \n",
-       "H3K9me2K14ac0             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9me3K14ac0             NaN    0.0102  0.0172  0.0372                 NaN   \n",
-       "H3K9ac1K14ac0             NaN    0.0016  0.0005     NaN                 NaN   \n",
-       "H3K9me0K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9me1K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9me2K14ac1             NaN       NaN  0.0456     NaN                 NaN   \n",
-       "H3K9me3K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9ac1K14ac1             NaN    0.0335     NaN     NaN                 NaN   \n",
-       "H3K18ac0K23ac0            NaN       NaN   0.034     NaN                 NaN   \n",
-       "H3K18ac1K23ac0            NaN       NaN     NaN     NaN              0.0239   \n",
-       "H3K18ac0K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K18ac1K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K18ac0K23ub1            NaN    0.0075     NaN   0.016                 NaN   \n",
-       "H3K27me0K36me0            NaN       NaN     NaN  0.0368                 NaN   \n",
-       "H3K27me0K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me0K36me2            NaN       NaN  0.0021     NaN                 NaN   \n",
-       "H3K27me0K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me1K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me1K36me2            NaN       NaN     NaN     NaN              0.0419   \n",
-       "H3K27me1K36me3            NaN    0.0484     NaN     NaN                 NaN   \n",
-       "H3K27me2K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me2K36me1            NaN       NaN  0.0042     NaN                 NaN   \n",
-       "H3K27me2K36me2            NaN       NaN     NaN  0.0154                 NaN   \n",
-       "H3K27me3K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me3K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27ac1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27ac1K36me1            NaN       NaN     NaN     NaN              0.0415   \n",
-       "H3K27ac1K36me2            NaN       NaN     NaN     NaN              0.0064   \n",
-       "H3K27ac1K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3.3K27me0K36me0          NaN       NaN     NaN  0.0007                 NaN   \n",
-       "H3K56me0                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K56me1                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K79me0                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K79me1                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K79me2                  NaN       NaN  0.0313     NaN              0.0352   \n",
-       "\n",
-       "                     AMP Citrate  ... C56:8 TAG C56:7 TAG C56:6 TAG C56:5 TAG  \\\n",
-       "H3K4me0              NaN     NaN  ...       NaN    0.0051    0.0017    0.0014   \n",
-       "H3K4me1           0.0289     NaN  ...    0.0009    0.0004    0.0004    0.0008   \n",
-       "H3K4me2              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K4ac1              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me0K14ac0        NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me1K14ac0     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me2K14ac0     0.0008     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me3K14ac0          0     NaN  ...    0.0025    0.0384    0.0064    0.0012   \n",
-       "H3K9ac1K14ac0        NaN  0.0173  ...    0.0001    0.0004    0.0002    0.0004   \n",
-       "H3K9me0K14ac1     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me1K14ac1     0.0002     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me2K14ac1     0.0011     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me3K14ac1     0.0121     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9ac1K14ac1        NaN   0.029  ...     0.001    0.0013    0.0003    0.0012   \n",
-       "H3K18ac0K23ac0         0     NaN  ...       NaN       NaN       NaN    0.0343   \n",
-       "H3K18ac1K23ac0       NaN     NaN  ...    0.0042    0.0109    0.0012    0.0049   \n",
-       "H3K18ac0K23ac1    0.0001     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K18ac1K23ac1       NaN     NaN  ...     0.012    0.0143    0.0024    0.0219   \n",
-       "H3K18ac0K23ub1       NaN  0.0175  ...       NaN    0.0289    0.0263       NaN   \n",
-       "H3K27me0K36me0     0.035     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me0K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me0K36me2    0.0222     NaN  ...    0.0306    0.0122    0.0016    0.0008   \n",
-       "H3K27me0K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me1K36me0    0.0043     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me1K36me2       NaN     NaN  ...    0.0025    0.0294    0.0011    0.0039   \n",
-       "H3K27me1K36me3    0.0012  0.0177  ...    0.0086    0.0004    0.0008    0.0002   \n",
-       "H3K27me2K36me0    0.0409     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me2K36me1       NaN  0.0078  ...    0.0308    0.0055    0.0044    0.0007   \n",
-       "H3K27me2K36me2       NaN     NaN  ...       NaN    0.0072    0.0147    0.0022   \n",
-       "H3K27me3K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me3K36me1       NaN     NaN  ...       NaN       NaN       NaN    0.0272   \n",
-       "H3K27ac1K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27ac1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27ac1K36me2       NaN     NaN  ...    0.0209       NaN    0.0166       NaN   \n",
-       "H3K27ac1K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3.3K27me0K36me0       0     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K56me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K56me1             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K79me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K79me1          0.0415     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K79me2          0.0082     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "\n",
-       "                 C56:4 TAG C56:3 TAG C56:2 TAG C58:8 TAG C58:7 TAG C58:6 TAG  \n",
-       "H3K4me0             0.0015    0.0155    0.0132    0.0494     0.017    0.0085  \n",
-       "H3K4me1             0.0027    0.0056    0.0008     0.001    0.0031    0.0004  \n",
-       "H3K4me2                NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K4ac1                NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me0K14ac0       0.0165    0.0305       NaN       NaN       NaN       NaN  \n",
-       "H3K9me1K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me2K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me3K14ac0       0.0001     0.002    0.0015       NaN       NaN    0.0068  \n",
-       "H3K9ac1K14ac0       0.0446       NaN       NaN    0.0018    0.0026    0.0003  \n",
-       "H3K9me0K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me1K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me2K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me3K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9ac1K14ac1          NaN       NaN       NaN    0.0004    0.0005    0.0006  \n",
-       "H3K18ac0K23ac0      0.0109       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K18ac1K23ac0      0.0205       NaN    0.0164    0.0137    0.0068    0.0054  \n",
-       "H3K18ac0K23ac1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K18ac1K23ac1         NaN       NaN       NaN    0.0082    0.0104    0.0181  \n",
-       "H3K18ac0K23ub1         NaN       NaN       NaN    0.0158    0.0215       NaN  \n",
-       "H3K27me0K36me0         NaN       NaN       NaN    0.0493       NaN       NaN  \n",
-       "H3K27me0K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me0K36me2      0.0013       NaN       NaN     0.003     0.008    0.0056  \n",
-       "H3K27me0K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me1K36me2      0.0116    0.0093    0.0109    0.0176    0.0264    0.0031  \n",
-       "H3K27me1K36me3           0    0.0005    0.0009    0.0022    0.0038    0.0005  \n",
-       "H3K27me2K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me2K36me1      0.0015       NaN       NaN    0.0124    0.0365    0.0125  \n",
-       "H3K27me2K36me2      0.0015    0.0248    0.0156    0.0029    0.0161    0.0037  \n",
-       "H3K27me3K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me3K36me1      0.0202       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27ac1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27ac1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27ac1K36me2         NaN       NaN       NaN    0.0473    0.0453     0.032  \n",
-       "H3K27ac1K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3.3K27me0K36me0       NaN       NaN    0.0232       NaN       NaN       NaN  \n",
-       "H3K56me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K56me1               NaN       NaN       NaN    0.0385    0.0205       NaN  \n",
-       "H3K79me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K79me1               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K79me2               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "\n",
-       "[42 rows x 225 columns]"
-      ]
-     },
-     "execution_count": 48,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "def calculate_pvalues(df,left,right):\n",
-    "    df = df.dropna()._get_numeric_data()\n",
-    "    dfcols = pd.DataFrame(columns=df.columns)\n",
-    "    df1 = left.dropna()._get_numeric_data()\n",
-    "    df2 = right.dropna()._get_numeric_data()\n",
-    "    df1cols = pd.DataFrame(columns=df1.columns)\n",
-    "    df2cols = pd.DataFrame(columns=df2.columns)\n",
-    "    pvalues = dfcols.transpose().join(dfcols, how='outer')\n",
-    "    newpvalues = df2cols.transpose().join(df1cols, how='outer')\n",
-    "    for r in (df.columns):\n",
-    "        for c in (df.columns):\n",
-    "            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)\n",
-    "    for r in (df1.columns):\n",
-    "        for c in (df2.columns):\n",
-    "            if pvalues[r][c] <= 0.05:\n",
-    "                newpvalues[r][c] = pvalues[r][c]\n",
-    "    newpvalues.to_csv('pvalues<0.05.csv')\n",
-    "    return newpvalues\n",
-    "\n",
-    "calculate_pvalues(result,left,right)\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.8.3"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 4
-}

From 87eb62039e40616e669001a20ad356ef631d0123 Mon Sep 17 00:00:00 2001
From: ScottCampit <scampit@umich.edu>
Date: Wed, 7 Oct 2020 13:40:48 -0400
Subject: [PATCH 06/18] Add server side

---
 srv/matlab/CBM/CancerCellLineModels.m | 114 ++++++++------------------
 srv/matlab/CBM/ccle_batch.sh          |  16 ++++
 srv/matlab/CBM/ccle_cbm1-13095669.err |   9 ++
 srv/matlab/CBM/ccle_cbm1-13095669.out |  10 +++
 srv/python/ml/nonlinear_regression.py |  70 +++++++---------
 5 files changed, 96 insertions(+), 123 deletions(-)
 create mode 100644 srv/matlab/CBM/ccle_batch.sh
 create mode 100644 srv/matlab/CBM/ccle_cbm1-13095669.err
 create mode 100644 srv/matlab/CBM/ccle_cbm1-13095669.out

diff --git a/srv/matlab/CBM/CancerCellLineModels.m b/srv/matlab/CBM/CancerCellLineModels.m
index b8e6a7f..d223931 100644
--- a/srv/matlab/CBM/CancerCellLineModels.m
+++ b/srv/matlab/CBM/CancerCellLineModels.m
@@ -24,8 +24,8 @@
 % # |07132020.mat:| contains all reactions from the metabolic model
 % # |09072020_write_only.mat|: contains only histone writer reactions
 
-load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
-%load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
+%load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
+load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
 %% 
 % Set the objective function to maximize biomass
 
@@ -71,28 +71,7 @@
         epsilon(i, 1) = epsilon_methylation;
     end
 end
-%% 3. Compute base metabolic model fluxes and growth rates for comparison
-% Compute the solution for an unconstrained metabolic model. This will be the 
-% control model.
 
-% for i = 1:length(dm_reactions)
-%     [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
-%     
-%     % Add activity to demand reactions
-%     tmp = eGEM;
-%     tmp.c(rxnPos) = epsilon(i);
-%     
-%     [~, soln] = CFR(tmp, hyperparams, {}, {});
-%     
-%     grate(1, i) = soln.x(3743);
-% 
-%     tmp2 = tmp;
-%     tmp2.lb(3743) = soln.x(3743) * 0.99;
-%     tmp2.c(3743)  = 0;                                                
-%     
-%     [~, soln] = CFR(tmp, hyperparams, {}, {});
-%     flux(1, i)  = soln.x(rxnPos);
-% end
 %% 4. Preprocess Cancer Cell Line Encyclopedia data
 % Load data from the Cancer Cell Line Encyclopedia
 % This module uses RNASeq data from the CCLE and performs some basic preprocessing. 
@@ -117,8 +96,8 @@
 %% 5. Compute CCLE metabolic fluxes from the eGEMM
 
 %fileName = '~/Data/CBM/eGEM/CCLE_fluxes_all.mat';
-%fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers.mat';
-fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all.mat';
+fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers.mat';
+%fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all.mat';
 
 %save(fileName, '-v7.3')
 % Ensure that histone readers and writers are being used in the metabolic model
@@ -133,32 +112,6 @@
 histone_entrez = histoneReactionMap(:, 1);
 histone_bigg = string(histone_entrez + .1);
 histone_entrez = string(histone_entrez);
-% SANITY CHECK: Intersecting Entrez IDs between metabolic model and dataset
-% This code block just checks and sees if there are any intersecting genes with 
-% the metabolic model and the RNASeq data.
-
-% tmp1 = [];
-% tmp2 = [];
-% for j = 1:size(log2fc, 2)
-%         
-%     % Get differentially expressed genes for each cancer cell line.
-%     DE{j}.name    = cell_names(j);
-%     DE{j}.medium  = medium(j);
-%     DE{j}.culture = cultures(j);
-%     DE{j}.tissue  = tissues(j);
-%     DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
-%     DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
-%     
-%     gene_list = [DE{j}.upreg; DE{j}.downreg];
-%     [~, ia, ib] = intersect(string(gene_list), string(histone_entrez));
-%     
-%     tmp1 = [tmp1; ia];
-%     tmp2 = [tmp2; ib];
-%     
-% end
-% Compute metabolic flux profiles
-% Now let's compute the data using the model. The data will automatically be 
-% saved.
 
 % Demand reactions
 flux = cell(length(dm_reactions), 1);
@@ -222,36 +175,35 @@
     
 end
 %% 6. Writers / Erasers Ratio Parameter
-% For this scheme, I need to do the following steps: 
+
+load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
+%load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
+%% 
+% Set the objective function to maximize biomass
+
+% Set up objective function
+eGEM.c = zeros(size(eGEM.c));
+eGEM.c(string(eGEM.rxns) == 'biomass_objective') = 1;
+%% 
+% Set the lower bound for methionine uptake
+
+% Set methionine lower bound to a really small number
+[~, pos] = ismember({'EX_met_L_e'}, eGEM.rxns);
+eGEM.lb(pos) = -1;
+%% 
+% Let's turn off some specific reactions that cause trouble with metabolic models.
+
+% Turn off specific reactions
+posToTurnOff           = find(ismember(eGEM.rxns, {'ALR', 'MGSA', 'MGSA2'}));
+eGEM.ub(posToTurnOff) = 0; eGEM.lb(posToTurnOff) = 0;
 %% 
-% # Separate the RNASeq data out by whether or not the differentially expressed 
-% genes are writers or erasers and ensure the algorithm is distinguishing between 
-% methylation and acetylation
-% # Create a scaling factor for the upper bound of the demand reaction. The 
-% scaling factor $\gamma$ I settled for is the following:$\;\gamma =\frac{\frac{\textrm{counts}\left(Z_{\textrm{up},\textrm{writer}} 
-% \right)}{\textrm{counts}\left(Z_{\textrm{up},\textrm{eraser}} \right)}}{\frac{\textrm{counts}\left(Z_{\textrm{down},\textrm{writer}} 
-% \right)}{\textrm{counts}\left(Z_{\textrm{down},\textrm{eraser}} \right)}}$
-% # For the $i^{\textrm{th}}$demand reaction, constrain its upper bound using 
-% $\gamma$: |model.ub(i) = gamma*model.ub(i)|
-% *Case examples*
-% *Case 1: All writers are up*
-% 
-% $$\gamma =\frac{\frac{10}{1}}{\frac{1}{1}}=10$$
-% 
-% *Case 2: All erasers are up* 
-% 
-% $$\gamma =\frac{\frac{1}{10}}{\frac{1}{1}}=0\ldotp 1$$
-% 
-% *Case 3: Writers are up and erasers are down*
-% 
-% $$\gamma =\frac{\frac{10}{1}}{\frac{1}{10}}=100$$
-% 
-% *Case 4: Erasers are up and writers are down* 
-% 
-% $$\gamma =\frac{\frac{1}{10}}{\frac{10}{1}}=0\ldotp 01$$
-% Compute metabolic flux profiles
-% Now let's compute the data using the model. The data will automatically be 
-% saved.
+% Assign values of parameters for the iMAT algorithm.
+
+% Set up hyperparameters for the linear programming section
+hyperparams.eps = []; hyperparams.isgenes = true;
+hyperparams.kap = []; hyperparams.eps2 = [];
+hyperparams.rho = []; hyperparams.pfba = false;
+hyperparams.kap2 = [];
 
 % Demand reactions
 flux = cell(length(dm_reactions), 1);
@@ -340,4 +292,4 @@
     flux{i, 1} = fluxes;
     grate{i, 1} = grates;
     save(fileName, 'flux', 'grate', 'j', 'i', '-append'); 
-end
\ No newline at end of file
+end
diff --git a/srv/matlab/CBM/ccle_batch.sh b/srv/matlab/CBM/ccle_batch.sh
new file mode 100644
index 0000000..1b2ef1f
--- /dev/null
+++ b/srv/matlab/CBM/ccle_batch.sh
@@ -0,0 +1,16 @@
+#!/bin/bash
+#SBATCH --job-name=ccle_cbm1
+#SBATCH --mail-user=scampit@umich.edu
+#SBATCH --mail-type=BEGIN,END,FAIL
+#SBATCH --output=%x-%j.out
+#SBATCH --error=%x-%j.err
+#SBATCH --nodes=1
+#SBATCH --ntasks-per-node=1
+#SBATCH --cpus-per-task=16
+#SBATCH --time=03-00:00:00
+#SBATCH --account=lsa1
+#SBATCH --partition=standard
+
+module load matlab
+matlab -nodisplay -r "CancerCellLineModels ; exit"
+
diff --git a/srv/matlab/CBM/ccle_cbm1-13095669.err b/srv/matlab/CBM/ccle_cbm1-13095669.err
new file mode 100644
index 0000000..eed0360
--- /dev/null
+++ b/srv/matlab/CBM/ccle_cbm1-13095669.err
@@ -0,0 +1,9 @@
+{'initCobraToolbox' is not found in the current folder or on the MATLAB path,
+but exists in:
+    /nfs/turbo/umms-csriram/scampit/Software/cobratoolbox
+
+Change the MATLAB current folder or add its folder to the MATLAB path.
+
+Error in CancerCellLineModels (line 19)
+initCobraToolbox; changeCobraSolver('gurobi', 'all');
+} 
diff --git a/srv/matlab/CBM/ccle_cbm1-13095669.out b/srv/matlab/CBM/ccle_cbm1-13095669.out
new file mode 100644
index 0000000..213dd09
--- /dev/null
+++ b/srv/matlab/CBM/ccle_cbm1-13095669.out
@@ -0,0 +1,10 @@
+
+                            < M A T L A B (R) >
+                  Copyright 1984-2018 The MathWorks, Inc.
+                   R2018b (9.5.0.944444) 64-bit (glnxa64)
+                              August 28, 2018
+
+ 
+To get started, type doc.
+For product information, visit www.mathworks.com.
+ 
diff --git a/srv/python/ml/nonlinear_regression.py b/srv/python/ml/nonlinear_regression.py
index 0ab3da4..cecf904 100644
--- a/srv/python/ml/nonlinear_regression.py
+++ b/srv/python/ml/nonlinear_regression.py
@@ -29,9 +29,6 @@
 GCP = pd.read_excel(gcp_path, 'All Ratios')
 MET = pd.read_csv(met_path)
 
-print(GCP.shape)
-print(MET.shape)
-
 """To preprocess the data, we'll do a couple of things, including:
   * Match by cell lines
   * Sort by index
@@ -46,8 +43,6 @@
 
 GCP = GCP.sort_values(by=['index'])
 MET = MET.sort_values(by=['index'])
-print(GCP.shape)
-print(MET.shape)
 
 cell_lines = GCP['index'].values
 gcpcol_to_drop = ['index'] 
@@ -55,8 +50,6 @@
 
 GCP = GCP.drop(labels=gcpcol_to_drop, axis=1)
 MET = MET.drop(labels=metcol_to_drop, axis=1)
-print(GCP.shape)
-print(MET.shape)
 
 """Save the column names, which will be used later when constructing dataframes for evaluating model performance.
 
@@ -87,21 +80,6 @@
     GCP_norm, MET_norm, test_size=0.3, random_state=0
 )
 
-"""Print shape of $X_{train}$ and $Y_{train}$."""
-
-print(GCP_norm.shape)
-print(MET_norm.shape)
-print(Xtrain.shape)
-print(Ytrain.shape)
-print(Xval.shape)
-print(Yval.shape)
-
-print(np.sum(Xtrain == np.inf))
-print(np.sum(Xtrain == -np.inf))
-print(np.sum(Xtrain == np.NaN))
-print(np.sum(Ytrain == np.inf))
-print(np.sum(Ytrain == -np.inf))
-print(np.sum(Ytrain == np.NaN))
 
 """## 3-fold cross validation for non-linear regressor selection
 Now let's train a bunch of non-linear regressors and evaluate their performance.
@@ -178,6 +156,9 @@
 """
 
 from sklearn.model_selection import KFold
+from sklearn.model_selection import KFold
+from time import sleep
+import progressbar
 
 # Set the kfold operator to split 3 times with shuffle
 kfold = KFold(n_splits=3, 
@@ -188,24 +169,28 @@
 opt1 = BayesSearchCV(
     estimator=RandomForestRegressor(),
     search_spaces=rf_params,
-    n_iter=30,
-    n_jobs=4,
     cv=kfold,
+    n_iter=30,
+    n_jobs=-1,
     random_state=0
 )
 
+bar.start()
 # Construct univariate random forest models and append to mdls list
 mdls = []
+model_path='/nfs/turbo/umms-csriram/scampit/Data/Models/GCP2Met/rf.pkl'
+print("Starting random forest hyperparameter optimization and cross validation")
 for i in range(Ytrain.shape[1]):
-  _ = opt1.fit(Xtrain, Ytrain)
-  mdls.append(opt1)
+    _ = opt1.fit(Xtrain, Ytrain[:, i])
+    mdls.append(opt1)
 
-"""### Save RF GCP -> MET model 
-Ensure model persistence by saving the serialized version of the model
-"""
-
-model_path='/nfs/turbo/umms-csriram/scampit/Data/Models/GCP2Met/rf.pkl'
-dump(mdls, model_path)
+    model_path='/home/scampit/Data/Models/GCP2Met/rf.pkl'
+    dump(res=mdls, filename=model_path)
+    
+    bar.update(i+1)
+    sleep(0.1)
+print("Finished random forest hyperparameter optimization and cross validation")
+bar.finish()
 
 """### Gradient boosting
 Now let's train the remaining GCP -> MET models and save them as well.
@@ -215,9 +200,9 @@
 opt2 = BayesSearchCV(
     estimator=GradientBoostingRegressor(),
     search_spaces=gb_params,
-    n_iter=30,
-    n_jobs=4,
     cv=kfold,
+    n_iter=30,
+    n_jobs=-1,
     random_state=0
 )
 
@@ -236,9 +221,9 @@
 opt3 = BayesSearchCV(
     estimator=ExtraTreesRegressor(),
     search_spaces=et_params,
-    n_iter=30,
-    n_jobs=4,
     cv=kfold,
+    n_iter=30,
+    n_jobs=-1,
     random_state=0
 )
 
@@ -257,8 +242,9 @@
 opt4 = BayesSearchCV(
     estimator=xgb.XGBRegressor(),
     search_spaces=xgb_params,
-    n_iter=30,
     cv=kfold,
+    n_iter=30,
+    n_jobs=-1,
     random_state=0
 )
 
@@ -323,21 +309,21 @@ def train_models(models, params, Xtrain, Ytrain, kfold, filename):
 
   """
   for i in range(len(models)):
+    model_path = filename[i]
     opt = BayesSearchCV(
                           estimator=models[i],
                           search_spaces=params[i],
-                          n_iter=30,
                           cv=kfold,
-                          random_state=0
+		          n_iter=30,
+		          n_jobs=-1,
+		          random_state=0
     )
 
     mdls =[]
     for j in range(Ytrain.shape[1]):
       _ = opt.fit(Xtrain, Ytrain[:, j])
       mdls.append(opt)
-
-    model_path = filename[i]
-    dump(mdls, model_path)
+      dump(mdls, model_path)
 
 """Finally, let's train the models."""
 

From df87ecab019eb9d08639dcfc094e316e5b92a9d2 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Wed, 7 Oct 2020 14:32:02 -0400
Subject: [PATCH 07/18] modify function calculate_pvalues and variables' name,
 add docstring for function

---
 src/python/EDA/MET2GCP_CORR.ipynb | 1618 +++++++++++------------------
 1 file changed, 596 insertions(+), 1022 deletions(-)

diff --git a/src/python/EDA/MET2GCP_CORR.ipynb b/src/python/EDA/MET2GCP_CORR.ipynb
index 79f1461..5c6f257 100644
--- a/src/python/EDA/MET2GCP_CORR.ipynb
+++ b/src/python/EDA/MET2GCP_CORR.ipynb
@@ -323,9 +323,9 @@
     }
    ],
    "source": [
-    "metabolites = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
     "print('\\n\\nmd after deleting column\\n--------------')\n",
-    "print(metabolites)"
+    "print(mt)"
    ]
   },
   {
@@ -768,8 +768,8 @@
     }
    ],
    "source": [
-    "result = metabolites.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
-    "result.head()"
+    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "merge_tb.head()"
    ]
   },
   {
@@ -849,11 +849,11 @@
     }
    ],
    "source": [
-    "metabolites.info()\n",
+    "mt.info()\n",
     "print('\\n')\n",
     "hm.info()\n",
     "print('\\n')\n",
-    "result.info()"
+    "merge_tb.info()"
    ]
   },
   {
@@ -1077,8 +1077,8 @@
     }
    ],
    "source": [
-    "left = result.iloc[:,1:226]\n",
-    "left.head()"
+    "metabolites = merge_tb.iloc[:,1:226]\n",
+    "metabolites.head()"
    ]
   },
   {
@@ -1296,8 +1296,8 @@
     }
    ],
    "source": [
-    "right = result.iloc[:,227:269]\n",
-    "right.head()"
+    "histone_markers = merge_tb.iloc[:,227:269]\n",
+    "histone_markers.head()"
    ]
   },
   {
@@ -1314,7 +1314,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "correlation = result.corr(method ='pearson')\n",
+    "correlation = merge_tb.corr(method ='pearson')\n",
     "correlation.to_csv('correlation.csv')"
    ]
   },
@@ -1322,24 +1322,6 @@
    "cell_type": "code",
    "execution_count": 9,
    "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr = pd.concat([left, right], axis=1, keys=['left', 'right']).corr().loc['left', 'right']"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "corr.to_csv('corr.csv')"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {},
    "outputs": [
     {
      "data": {
@@ -1362,609 +1344,452 @@
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
-       "      <th>2-aminoadipate</th>\n",
-       "      <th>3-phosphoglycerate</th>\n",
-       "      <th>Alpha-glycerophosphate</th>\n",
-       "      <th>4-pyridoxate</th>\n",
-       "      <th>Aconitate</th>\n",
-       "      <th>Adenine</th>\n",
-       "      <th>Adipate</th>\n",
-       "      <th>Alpha-ketoglutarate</th>\n",
-       "      <th>AMP</th>\n",
-       "      <th>Citrate</th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
        "      <th>...</th>\n",
-       "      <th>C56:8 TAG</th>\n",
-       "      <th>C56:7 TAG</th>\n",
-       "      <th>C56:6 TAG</th>\n",
-       "      <th>C56:5 TAG</th>\n",
-       "      <th>C56:4 TAG</th>\n",
-       "      <th>C56:3 TAG</th>\n",
-       "      <th>C56:2 TAG</th>\n",
-       "      <th>C58:8 TAG</th>\n",
-       "      <th>C58:7 TAG</th>\n",
-       "      <th>C58:6 TAG</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th>H3K4me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0051</td>\n",
-       "      <td>0.0017</td>\n",
-       "      <td>0.0014</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>0.0155</td>\n",
-       "      <td>0.0132</td>\n",
-       "      <td>0.0494</td>\n",
-       "      <td>0.017</td>\n",
-       "      <td>0.0085</td>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <td>0.010580</td>\n",
+       "      <td>-0.002126</td>\n",
+       "      <td>-0.041193</td>\n",
+       "      <td>-0.013648</td>\n",
+       "      <td>0.050923</td>\n",
+       "      <td>0.008836</td>\n",
+       "      <td>-0.004897</td>\n",
+       "      <td>-0.026113</td>\n",
+       "      <td>0.115304</td>\n",
+       "      <td>0.008429</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.005171</td>\n",
+       "      <td>0.072125</td>\n",
+       "      <td>0.102133</td>\n",
+       "      <td>0.040594</td>\n",
+       "      <td>-0.047334</td>\n",
+       "      <td>-0.015090</td>\n",
+       "      <td>0.038496</td>\n",
+       "      <td>0.026004</td>\n",
+       "      <td>0.021895</td>\n",
+       "      <td>0.009092</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K4me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0135</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.01</td>\n",
-       "      <td>0.0289</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0009</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.0027</td>\n",
-       "      <td>0.0056</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.001</td>\n",
-       "      <td>0.0031</td>\n",
-       "      <td>0.0004</td>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <td>-0.001581</td>\n",
+       "      <td>-0.019890</td>\n",
+       "      <td>-0.071459</td>\n",
+       "      <td>-0.084018</td>\n",
+       "      <td>-0.017795</td>\n",
+       "      <td>-0.053068</td>\n",
+       "      <td>-0.064875</td>\n",
+       "      <td>0.090798</td>\n",
+       "      <td>0.034091</td>\n",
+       "      <td>-0.036035</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.078900</td>\n",
+       "      <td>0.093404</td>\n",
+       "      <td>0.090150</td>\n",
+       "      <td>0.026673</td>\n",
+       "      <td>0.027275</td>\n",
+       "      <td>-0.053514</td>\n",
+       "      <td>-0.011799</td>\n",
+       "      <td>-0.041461</td>\n",
+       "      <td>-0.028518</td>\n",
+       "      <td>-0.009319</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K4me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <td>-0.002453</td>\n",
+       "      <td>-0.045434</td>\n",
+       "      <td>0.087097</td>\n",
+       "      <td>0.124921</td>\n",
+       "      <td>-0.046795</td>\n",
+       "      <td>-0.090670</td>\n",
+       "      <td>-0.040877</td>\n",
+       "      <td>-0.059714</td>\n",
+       "      <td>0.002468</td>\n",
+       "      <td>0.093690</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.093395</td>\n",
+       "      <td>0.051769</td>\n",
+       "      <td>0.050861</td>\n",
+       "      <td>0.108437</td>\n",
+       "      <td>-0.126376</td>\n",
+       "      <td>-0.050834</td>\n",
+       "      <td>0.081335</td>\n",
+       "      <td>-0.069509</td>\n",
+       "      <td>-0.054641</td>\n",
+       "      <td>-0.010631</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K4ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0342</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <td>-0.037425</td>\n",
+       "      <td>0.042511</td>\n",
+       "      <td>0.057534</td>\n",
+       "      <td>0.050476</td>\n",
+       "      <td>-0.044778</td>\n",
+       "      <td>-0.064867</td>\n",
+       "      <td>0.001037</td>\n",
+       "      <td>-0.042040</td>\n",
+       "      <td>-0.047889</td>\n",
+       "      <td>0.013349</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.017766</td>\n",
+       "      <td>-0.020870</td>\n",
+       "      <td>-0.003874</td>\n",
+       "      <td>0.007819</td>\n",
+       "      <td>0.004127</td>\n",
+       "      <td>-0.003100</td>\n",
+       "      <td>0.010450</td>\n",
+       "      <td>0.049615</td>\n",
+       "      <td>0.011765</td>\n",
+       "      <td>0.042426</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K9me0K14ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0153</td>\n",
-       "      <td>0.0193</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0165</td>\n",
-       "      <td>0.0305</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>Aconitate</th>\n",
+       "      <td>-0.010916</td>\n",
+       "      <td>0.062242</td>\n",
+       "      <td>-0.017422</td>\n",
+       "      <td>-0.047795</td>\n",
+       "      <td>0.045195</td>\n",
+       "      <td>0.042865</td>\n",
+       "      <td>-0.034142</td>\n",
+       "      <td>0.093691</td>\n",
+       "      <td>0.071020</td>\n",
+       "      <td>-0.041497</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.009039</td>\n",
+       "      <td>0.048717</td>\n",
+       "      <td>0.066045</td>\n",
+       "      <td>0.035413</td>\n",
+       "      <td>-0.009440</td>\n",
+       "      <td>0.005705</td>\n",
+       "      <td>-0.041541</td>\n",
+       "      <td>-0.042933</td>\n",
+       "      <td>-0.030498</td>\n",
+       "      <td>-0.005861</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K9me1K14ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0437</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0076</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0006</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
        "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K9me2K14ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <td>-0.092032</td>\n",
+       "      <td>-0.124924</td>\n",
+       "      <td>-0.038686</td>\n",
+       "      <td>0.015128</td>\n",
+       "      <td>-0.082022</td>\n",
+       "      <td>-0.068769</td>\n",
+       "      <td>-0.032480</td>\n",
+       "      <td>-0.085301</td>\n",
+       "      <td>-0.100181</td>\n",
+       "      <td>-0.033661</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.045226</td>\n",
+       "      <td>-0.086836</td>\n",
+       "      <td>-0.124022</td>\n",
+       "      <td>-0.067308</td>\n",
+       "      <td>-0.006703</td>\n",
+       "      <td>-0.063079</td>\n",
+       "      <td>0.074371</td>\n",
+       "      <td>-0.052006</td>\n",
+       "      <td>-0.008740</td>\n",
+       "      <td>-0.021745</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K9me3K14ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0027</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0102</td>\n",
-       "      <td>0.0172</td>\n",
-       "      <td>0.0372</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0025</td>\n",
-       "      <td>0.0384</td>\n",
-       "      <td>0.0064</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>0.0001</td>\n",
-       "      <td>0.002</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0068</td>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <td>-0.082580</td>\n",
+       "      <td>-0.127105</td>\n",
+       "      <td>-0.011321</td>\n",
+       "      <td>-0.012633</td>\n",
+       "      <td>-0.064240</td>\n",
+       "      <td>-0.072285</td>\n",
+       "      <td>-0.058981</td>\n",
+       "      <td>-0.118642</td>\n",
+       "      <td>-0.077662</td>\n",
+       "      <td>0.027446</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.026863</td>\n",
+       "      <td>-0.051468</td>\n",
+       "      <td>-0.096133</td>\n",
+       "      <td>-0.039034</td>\n",
+       "      <td>-0.074956</td>\n",
+       "      <td>-0.045601</td>\n",
+       "      <td>0.065746</td>\n",
+       "      <td>-0.030144</td>\n",
+       "      <td>-0.025248</td>\n",
+       "      <td>-0.046129</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K9ac1K14ac0</th>\n",
-       "      <td>0.0391</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0016</td>\n",
-       "      <td>0.0005</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0173</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0001</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0446</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0018</td>\n",
-       "      <td>0.0026</td>\n",
-       "      <td>0.0003</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me0K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0077</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0006</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me1K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0017</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me2K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.002</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0456</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0011</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9me3K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0127</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0121</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K9ac1K14ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0335</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.029</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.001</td>\n",
-       "      <td>0.0013</td>\n",
-       "      <td>0.0003</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0005</td>\n",
-       "      <td>0.0006</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac0K23ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.034</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0343</td>\n",
-       "      <td>0.0109</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac1K23ac0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0239</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0042</td>\n",
-       "      <td>0.0109</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>0.0049</td>\n",
-       "      <td>0.0205</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0164</td>\n",
-       "      <td>0.0137</td>\n",
-       "      <td>0.0068</td>\n",
-       "      <td>0.0054</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac0K23ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0003</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0001</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac1K23ac1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0032</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.012</td>\n",
-       "      <td>0.0143</td>\n",
-       "      <td>0.0024</td>\n",
-       "      <td>0.0219</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0082</td>\n",
-       "      <td>0.0104</td>\n",
-       "      <td>0.0181</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K18ac0K23ub1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0075</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.016</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0175</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0289</td>\n",
-       "      <td>0.0263</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0158</td>\n",
-       "      <td>0.0215</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me0K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0368</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.035</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0493</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me0K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <td>-0.022876</td>\n",
+       "      <td>-0.121581</td>\n",
+       "      <td>0.024798</td>\n",
+       "      <td>0.007220</td>\n",
+       "      <td>-0.019974</td>\n",
+       "      <td>-0.020388</td>\n",
+       "      <td>0.022385</td>\n",
+       "      <td>-0.080380</td>\n",
+       "      <td>-0.158414</td>\n",
+       "      <td>-0.002622</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.009838</td>\n",
+       "      <td>-0.062912</td>\n",
+       "      <td>-0.114602</td>\n",
+       "      <td>-0.066195</td>\n",
+       "      <td>0.042674</td>\n",
+       "      <td>-0.015420</td>\n",
+       "      <td>0.075143</td>\n",
+       "      <td>0.036103</td>\n",
+       "      <td>-0.052345</td>\n",
+       "      <td>-0.055305</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27me0K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0018</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0021</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0222</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0306</td>\n",
-       "      <td>0.0122</td>\n",
-       "      <td>0.0016</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.0013</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.003</td>\n",
-       "      <td>0.008</td>\n",
-       "      <td>0.0056</td>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <td>-0.037326</td>\n",
+       "      <td>-0.115441</td>\n",
+       "      <td>0.029761</td>\n",
+       "      <td>0.016484</td>\n",
+       "      <td>-0.019208</td>\n",
+       "      <td>-0.009688</td>\n",
+       "      <td>0.013548</td>\n",
+       "      <td>-0.065745</td>\n",
+       "      <td>-0.141172</td>\n",
+       "      <td>-0.010678</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.000221</td>\n",
+       "      <td>-0.079922</td>\n",
+       "      <td>-0.124879</td>\n",
+       "      <td>-0.057009</td>\n",
+       "      <td>0.026002</td>\n",
+       "      <td>-0.017772</td>\n",
+       "      <td>0.088506</td>\n",
+       "      <td>0.016925</td>\n",
+       "      <td>-0.071363</td>\n",
+       "      <td>-0.045839</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27me0K36me3</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "      <td>-0.055070</td>\n",
+       "      <td>-0.133468</td>\n",
+       "      <td>0.033982</td>\n",
+       "      <td>0.016396</td>\n",
+       "      <td>-0.052941</td>\n",
+       "      <td>-0.067330</td>\n",
+       "      <td>0.007472</td>\n",
+       "      <td>-0.107336</td>\n",
+       "      <td>-0.155054</td>\n",
+       "      <td>-0.002735</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.018373</td>\n",
+       "      <td>-0.078219</td>\n",
+       "      <td>-0.126067</td>\n",
+       "      <td>-0.056868</td>\n",
+       "      <td>0.014647</td>\n",
+       "      <td>-0.053912</td>\n",
+       "      <td>0.049771</td>\n",
+       "      <td>-0.003481</td>\n",
+       "      <td>-0.081317</td>\n",
+       "      <td>-0.061907</td>\n",
        "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me1K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0043</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>225 rows × 42 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                         H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  \\\n",
+       "2-aminoadipate          0.010580 -0.002126 -0.041193 -0.013648       0.050923   \n",
+       "3-phosphoglycerate     -0.001581 -0.019890 -0.071459 -0.084018      -0.017795   \n",
+       "Alpha-glycerophosphate -0.002453 -0.045434  0.087097  0.124921      -0.046795   \n",
+       "4-pyridoxate           -0.037425  0.042511  0.057534  0.050476      -0.044778   \n",
+       "Aconitate              -0.010916  0.062242 -0.017422 -0.047795       0.045195   \n",
+       "...                          ...       ...       ...       ...            ...   \n",
+       "C56:3 TAG              -0.092032 -0.124924 -0.038686  0.015128      -0.082022   \n",
+       "C56:2 TAG              -0.082580 -0.127105 -0.011321 -0.012633      -0.064240   \n",
+       "C58:8 TAG              -0.022876 -0.121581  0.024798  0.007220      -0.019974   \n",
+       "C58:7 TAG              -0.037326 -0.115441  0.029761  0.016484      -0.019208   \n",
+       "C58:6 TAG              -0.055070 -0.133468  0.033982  0.016396      -0.052941   \n",
+       "\n",
+       "                        H3K9me1K14ac0  H3K9me2K14ac0  H3K9me3K14ac0  \\\n",
+       "2-aminoadipate               0.008836      -0.004897      -0.026113   \n",
+       "3-phosphoglycerate          -0.053068      -0.064875       0.090798   \n",
+       "Alpha-glycerophosphate      -0.090670      -0.040877      -0.059714   \n",
+       "4-pyridoxate                -0.064867       0.001037      -0.042040   \n",
+       "Aconitate                    0.042865      -0.034142       0.093691   \n",
+       "...                               ...            ...            ...   \n",
+       "C56:3 TAG                   -0.068769      -0.032480      -0.085301   \n",
+       "C56:2 TAG                   -0.072285      -0.058981      -0.118642   \n",
+       "C58:8 TAG                   -0.020388       0.022385      -0.080380   \n",
+       "C58:7 TAG                   -0.009688       0.013548      -0.065745   \n",
+       "C58:6 TAG                   -0.067330       0.007472      -0.107336   \n",
+       "\n",
+       "                        H3K9ac1K14ac0  H3K9me0K14ac1  ...  H3K27ac1K36me0  \\\n",
+       "2-aminoadipate               0.115304       0.008429  ...        0.005171   \n",
+       "3-phosphoglycerate           0.034091      -0.036035  ...        0.078900   \n",
+       "Alpha-glycerophosphate       0.002468       0.093690  ...        0.093395   \n",
+       "4-pyridoxate                -0.047889       0.013349  ...       -0.017766   \n",
+       "Aconitate                    0.071020      -0.041497  ...        0.009039   \n",
+       "...                               ...            ...  ...             ...   \n",
+       "C56:3 TAG                   -0.100181      -0.033661  ...       -0.045226   \n",
+       "C56:2 TAG                   -0.077662       0.027446  ...       -0.026863   \n",
+       "C58:8 TAG                   -0.158414      -0.002622  ...        0.009838   \n",
+       "C58:7 TAG                   -0.141172      -0.010678  ...       -0.000221   \n",
+       "C58:6 TAG                   -0.155054      -0.002735  ...       -0.018373   \n",
+       "\n",
+       "                        H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+       "2-aminoadipate                0.072125        0.102133        0.040594   \n",
+       "3-phosphoglycerate            0.093404        0.090150        0.026673   \n",
+       "Alpha-glycerophosphate        0.051769        0.050861        0.108437   \n",
+       "4-pyridoxate                 -0.020870       -0.003874        0.007819   \n",
+       "Aconitate                     0.048717        0.066045        0.035413   \n",
+       "...                                ...             ...             ...   \n",
+       "C56:3 TAG                    -0.086836       -0.124022       -0.067308   \n",
+       "C56:2 TAG                    -0.051468       -0.096133       -0.039034   \n",
+       "C58:8 TAG                    -0.062912       -0.114602       -0.066195   \n",
+       "C58:7 TAG                    -0.079922       -0.124879       -0.057009   \n",
+       "C58:6 TAG                    -0.078219       -0.126067       -0.056868   \n",
+       "\n",
+       "                        H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  \\\n",
+       "2-aminoadipate                 -0.047334 -0.015090  0.038496  0.026004   \n",
+       "3-phosphoglycerate              0.027275 -0.053514 -0.011799 -0.041461   \n",
+       "Alpha-glycerophosphate         -0.126376 -0.050834  0.081335 -0.069509   \n",
+       "4-pyridoxate                    0.004127 -0.003100  0.010450  0.049615   \n",
+       "Aconitate                      -0.009440  0.005705 -0.041541 -0.042933   \n",
+       "...                                  ...       ...       ...       ...   \n",
+       "C56:3 TAG                      -0.006703 -0.063079  0.074371 -0.052006   \n",
+       "C56:2 TAG                      -0.074956 -0.045601  0.065746 -0.030144   \n",
+       "C58:8 TAG                       0.042674 -0.015420  0.075143  0.036103   \n",
+       "C58:7 TAG                       0.026002 -0.017772  0.088506  0.016925   \n",
+       "C58:6 TAG                       0.014647 -0.053912  0.049771 -0.003481   \n",
+       "\n",
+       "                        H3K79me1  H3K79me2  \n",
+       "2-aminoadipate          0.021895  0.009092  \n",
+       "3-phosphoglycerate     -0.028518 -0.009319  \n",
+       "Alpha-glycerophosphate -0.054641 -0.010631  \n",
+       "4-pyridoxate            0.011765  0.042426  \n",
+       "Aconitate              -0.030498 -0.005861  \n",
+       "...                          ...       ...  \n",
+       "C56:3 TAG              -0.008740 -0.021745  \n",
+       "C56:2 TAG              -0.025248 -0.046129  \n",
+       "C58:8 TAG              -0.052345 -0.055305  \n",
+       "C58:7 TAG              -0.071363 -0.045839  \n",
+       "C58:6 TAG              -0.081317 -0.061907  \n",
+       "\n",
+       "[225 rows x 42 columns]"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "corr = pd.concat([metabolites, histone_markers], axis=1, keys=['metabolites', 'histone_markers']).corr().loc['metabolites', 'histone_markers']\n",
+    "corr"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr.to_csv('corr.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
        "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
        "    <tr>\n",
-       "      <th>H3K27me1K36me1</th>\n",
-       "      <td>NaN</td>\n",
+       "      <th>2-aminoadipate</th>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
@@ -1973,6 +1798,7 @@
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0391</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>NaN</td>\n",
@@ -1987,55 +1813,7 @@
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27me1K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0419</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0025</td>\n",
-       "      <td>0.0294</td>\n",
-       "      <td>0.0011</td>\n",
-       "      <td>0.0039</td>\n",
-       "      <td>0.0116</td>\n",
-       "      <td>0.0093</td>\n",
-       "      <td>0.0109</td>\n",
-       "      <td>0.0176</td>\n",
-       "      <td>0.0264</td>\n",
-       "      <td>0.0031</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me1K36me3</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.03</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0484</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0012</td>\n",
-       "      <td>0.0177</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0086</td>\n",
-       "      <td>0.0004</td>\n",
-       "      <td>0.0008</td>\n",
-       "      <td>0.0002</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0005</td>\n",
-       "      <td>0.0009</td>\n",
-       "      <td>0.0022</td>\n",
-       "      <td>0.0038</td>\n",
-       "      <td>0.0005</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me2K36me0</th>\n",
+       "      <th>3-phosphoglycerate</th>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
@@ -2043,13 +1821,13 @@
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0027</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0409</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <td>0.0465</td>\n",
+       "      <td>0.0107</td>\n",
+       "      <td>0.0061</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
@@ -2059,55 +1837,31 @@
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27me2K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0012</td>\n",
+       "      <td>0.0002</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0042</td>\n",
+       "      <td>0.0437</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0078</td>\n",
+       "      <td>0.0077</td>\n",
        "      <td>...</td>\n",
-       "      <td>0.0308</td>\n",
-       "      <td>0.0055</td>\n",
-       "      <td>0.0044</td>\n",
-       "      <td>0.0007</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0124</td>\n",
-       "      <td>0.0365</td>\n",
-       "      <td>0.0125</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27me2K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0154</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0132</td>\n",
+       "      <td>0.0031</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
+       "      <td>0.0293</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0072</td>\n",
-       "      <td>0.0147</td>\n",
-       "      <td>0.0022</td>\n",
-       "      <td>0.0015</td>\n",
-       "      <td>0.0248</td>\n",
-       "      <td>0.0156</td>\n",
-       "      <td>0.0029</td>\n",
-       "      <td>0.0161</td>\n",
-       "      <td>0.0037</td>\n",
+       "      <td>0.0434</td>\n",
+       "      <td>0.032</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27me3K36me0</th>\n",
+       "      <th>4-pyridoxate</th>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
@@ -2131,40 +1885,16 @@
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27me3K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0272</td>\n",
-       "      <td>0.0202</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27ac1K36me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0465</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>Aconitate</th>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0135</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0153</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0102</td>\n",
+       "      <td>0.0016</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>NaN</td>\n",
@@ -2179,63 +1909,39 @@
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27ac1K36me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0107</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0415</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
        "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K27ac1K36me2</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0061</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0064</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
        "      <td>...</td>\n",
-       "      <td>0.0209</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0166</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0473</td>\n",
-       "      <td>0.0453</td>\n",
-       "      <td>0.032</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K27ac1K36me3</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0132</td>\n",
-       "      <td>NaN</td>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <td>0.0155</td>\n",
+       "      <td>0.0056</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0305</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.002</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
@@ -2251,141 +1957,93 @@
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <td>0.0132</td>\n",
+       "      <td>0.0008</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0031</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0007</td>\n",
+       "      <td>0.0015</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
        "      <td>0.0232</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K56me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K56me1</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0293</td>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <td>0.0494</td>\n",
+       "      <td>0.001</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0018</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <td>0.0473</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>0.0385</td>\n",
-       "      <td>0.0205</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>H3K79me0</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K79me1</th>\n",
-       "      <td>NaN</td>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <td>0.017</td>\n",
+       "      <td>0.0031</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0434</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0415</td>\n",
+       "      <td>0.0026</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
+       "      <td>0.0453</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <td>0.0205</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>H3K79me2</th>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "      <td>0.0085</td>\n",
+       "      <td>0.0004</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.032</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0313</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>0.0352</td>\n",
-       "      <td>0.0082</td>\n",
+       "      <td>0.0068</td>\n",
+       "      <td>0.0003</td>\n",
        "      <td>NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
+       "      <td>0.032</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
@@ -2396,187 +2054,89 @@
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
-       "<p>42 rows × 225 columns</p>\n",
+       "<p>225 rows × 42 columns</p>\n",
        "</div>"
       ],
       "text/plain": [
-       "                 2-aminoadipate 3-phosphoglycerate Alpha-glycerophosphate  \\\n",
-       "H3K4me0                     NaN                NaN                    NaN   \n",
-       "H3K4me1                     NaN                NaN                    NaN   \n",
-       "H3K4me2                     NaN                NaN                 0.0012   \n",
-       "H3K4ac1                     NaN                NaN                 0.0002   \n",
-       "H3K9me0K14ac0               NaN                NaN                    NaN   \n",
-       "H3K9me1K14ac0               NaN                NaN                 0.0437   \n",
-       "H3K9me2K14ac0               NaN                NaN                    NaN   \n",
-       "H3K9me3K14ac0               NaN             0.0027                    NaN   \n",
-       "H3K9ac1K14ac0            0.0391                NaN                    NaN   \n",
-       "H3K9me0K14ac1               NaN                NaN                 0.0077   \n",
-       "H3K9me1K14ac1               NaN                NaN                 0.0017   \n",
-       "H3K9me2K14ac1               NaN                NaN                  0.002   \n",
-       "H3K9me3K14ac1               NaN                NaN                 0.0127   \n",
-       "H3K9ac1K14ac1               NaN                NaN                    NaN   \n",
-       "H3K18ac0K23ac0              NaN                NaN                    NaN   \n",
-       "H3K18ac1K23ac0              NaN                NaN                    NaN   \n",
-       "H3K18ac0K23ac1              NaN                NaN                 0.0003   \n",
-       "H3K18ac1K23ac1              NaN                NaN                 0.0032   \n",
-       "H3K18ac0K23ub1              NaN                NaN                    NaN   \n",
-       "H3K27me0K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me0K36me1              NaN                NaN                    NaN   \n",
-       "H3K27me0K36me2              NaN                NaN                 0.0018   \n",
-       "H3K27me0K36me3              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me1              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me2              NaN                NaN                    NaN   \n",
-       "H3K27me1K36me3              NaN                NaN                   0.03   \n",
-       "H3K27me2K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me2K36me1              NaN                NaN                    NaN   \n",
-       "H3K27me2K36me2              NaN                NaN                    NaN   \n",
-       "H3K27me3K36me0              NaN                NaN                    NaN   \n",
-       "H3K27me3K36me1              NaN                NaN                    NaN   \n",
-       "H3K27ac1K36me0              NaN             0.0465                    NaN   \n",
-       "H3K27ac1K36me1              NaN             0.0107                    NaN   \n",
-       "H3K27ac1K36me2              NaN             0.0061                    NaN   \n",
-       "H3K27ac1K36me3              NaN                NaN                 0.0132   \n",
-       "H3.3K27me0K36me0            NaN                NaN                 0.0031   \n",
-       "H3K56me0                    NaN                NaN                    NaN   \n",
-       "H3K56me1                    NaN                NaN                 0.0293   \n",
-       "H3K79me0                    NaN                NaN                    NaN   \n",
-       "H3K79me1                    NaN                NaN                 0.0434   \n",
-       "H3K79me2                    NaN                NaN                  0.032   \n",
+       "                       H3K4me0 H3K4me1 H3K4me2 H3K4ac1 H3K9me0K14ac0  \\\n",
+       "2-aminoadipate             NaN     NaN     NaN     NaN           NaN   \n",
+       "3-phosphoglycerate         NaN     NaN     NaN     NaN           NaN   \n",
+       "Alpha-glycerophosphate     NaN     NaN  0.0012  0.0002           NaN   \n",
+       "4-pyridoxate               NaN     NaN     NaN     NaN           NaN   \n",
+       "Aconitate                  NaN  0.0135     NaN     NaN        0.0153   \n",
+       "...                        ...     ...     ...     ...           ...   \n",
+       "C56:3 TAG               0.0155  0.0056     NaN     NaN        0.0305   \n",
+       "C56:2 TAG               0.0132  0.0008     NaN     NaN           NaN   \n",
+       "C58:8 TAG               0.0494   0.001     NaN     NaN           NaN   \n",
+       "C58:7 TAG                0.017  0.0031     NaN     NaN           NaN   \n",
+       "C58:6 TAG               0.0085  0.0004     NaN     NaN           NaN   \n",
+       "\n",
+       "                       H3K9me1K14ac0 H3K9me2K14ac0 H3K9me3K14ac0  \\\n",
+       "2-aminoadipate                   NaN           NaN           NaN   \n",
+       "3-phosphoglycerate               NaN           NaN        0.0027   \n",
+       "Alpha-glycerophosphate        0.0437           NaN           NaN   \n",
+       "4-pyridoxate                     NaN           NaN           NaN   \n",
+       "Aconitate                        NaN           NaN        0.0102   \n",
+       "...                              ...           ...           ...   \n",
+       "C56:3 TAG                        NaN           NaN         0.002   \n",
+       "C56:2 TAG                        NaN           NaN        0.0015   \n",
+       "C58:8 TAG                        NaN           NaN           NaN   \n",
+       "C58:7 TAG                        NaN           NaN           NaN   \n",
+       "C58:6 TAG                        NaN           NaN        0.0068   \n",
        "\n",
-       "                 4-pyridoxate Aconitate Adenine Adipate Alpha-ketoglutarate  \\\n",
-       "H3K4me0                   NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K4me1                   NaN    0.0135     NaN     NaN                0.01   \n",
-       "H3K4me2                   NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K4ac1                   NaN       NaN     NaN  0.0342                 NaN   \n",
-       "H3K9me0K14ac0             NaN    0.0153  0.0193     NaN                 NaN   \n",
-       "H3K9me1K14ac0             NaN       NaN  0.0076     NaN                 NaN   \n",
-       "H3K9me2K14ac0             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9me3K14ac0             NaN    0.0102  0.0172  0.0372                 NaN   \n",
-       "H3K9ac1K14ac0             NaN    0.0016  0.0005     NaN                 NaN   \n",
-       "H3K9me0K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9me1K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9me2K14ac1             NaN       NaN  0.0456     NaN                 NaN   \n",
-       "H3K9me3K14ac1             NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K9ac1K14ac1             NaN    0.0335     NaN     NaN                 NaN   \n",
-       "H3K18ac0K23ac0            NaN       NaN   0.034     NaN                 NaN   \n",
-       "H3K18ac1K23ac0            NaN       NaN     NaN     NaN              0.0239   \n",
-       "H3K18ac0K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K18ac1K23ac1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K18ac0K23ub1            NaN    0.0075     NaN   0.016                 NaN   \n",
-       "H3K27me0K36me0            NaN       NaN     NaN  0.0368                 NaN   \n",
-       "H3K27me0K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me0K36me2            NaN       NaN  0.0021     NaN                 NaN   \n",
-       "H3K27me0K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me1K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me1K36me2            NaN       NaN     NaN     NaN              0.0419   \n",
-       "H3K27me1K36me3            NaN    0.0484     NaN     NaN                 NaN   \n",
-       "H3K27me2K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me2K36me1            NaN       NaN  0.0042     NaN                 NaN   \n",
-       "H3K27me2K36me2            NaN       NaN     NaN  0.0154                 NaN   \n",
-       "H3K27me3K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27me3K36me1            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27ac1K36me0            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K27ac1K36me1            NaN       NaN     NaN     NaN              0.0415   \n",
-       "H3K27ac1K36me2            NaN       NaN     NaN     NaN              0.0064   \n",
-       "H3K27ac1K36me3            NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3.3K27me0K36me0          NaN       NaN     NaN  0.0007                 NaN   \n",
-       "H3K56me0                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K56me1                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K79me0                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K79me1                  NaN       NaN     NaN     NaN                 NaN   \n",
-       "H3K79me2                  NaN       NaN  0.0313     NaN              0.0352   \n",
+       "                       H3K9ac1K14ac0 H3K9me0K14ac1  ... H3K27ac1K36me0  \\\n",
+       "2-aminoadipate                0.0391           NaN  ...            NaN   \n",
+       "3-phosphoglycerate               NaN           NaN  ...         0.0465   \n",
+       "Alpha-glycerophosphate           NaN        0.0077  ...            NaN   \n",
+       "4-pyridoxate                     NaN           NaN  ...            NaN   \n",
+       "Aconitate                     0.0016           NaN  ...            NaN   \n",
+       "...                              ...           ...  ...            ...   \n",
+       "C56:3 TAG                        NaN           NaN  ...            NaN   \n",
+       "C56:2 TAG                        NaN           NaN  ...            NaN   \n",
+       "C58:8 TAG                     0.0018           NaN  ...            NaN   \n",
+       "C58:7 TAG                     0.0026           NaN  ...            NaN   \n",
+       "C58:6 TAG                     0.0003           NaN  ...            NaN   \n",
        "\n",
-       "                     AMP Citrate  ... C56:8 TAG C56:7 TAG C56:6 TAG C56:5 TAG  \\\n",
-       "H3K4me0              NaN     NaN  ...       NaN    0.0051    0.0017    0.0014   \n",
-       "H3K4me1           0.0289     NaN  ...    0.0009    0.0004    0.0004    0.0008   \n",
-       "H3K4me2              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K4ac1              NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me0K14ac0        NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me1K14ac0     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me2K14ac0     0.0008     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me3K14ac0          0     NaN  ...    0.0025    0.0384    0.0064    0.0012   \n",
-       "H3K9ac1K14ac0        NaN  0.0173  ...    0.0001    0.0004    0.0002    0.0004   \n",
-       "H3K9me0K14ac1     0.0006     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me1K14ac1     0.0002     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me2K14ac1     0.0011     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9me3K14ac1     0.0121     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K9ac1K14ac1        NaN   0.029  ...     0.001    0.0013    0.0003    0.0012   \n",
-       "H3K18ac0K23ac0         0     NaN  ...       NaN       NaN       NaN    0.0343   \n",
-       "H3K18ac1K23ac0       NaN     NaN  ...    0.0042    0.0109    0.0012    0.0049   \n",
-       "H3K18ac0K23ac1    0.0001     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K18ac1K23ac1       NaN     NaN  ...     0.012    0.0143    0.0024    0.0219   \n",
-       "H3K18ac0K23ub1       NaN  0.0175  ...       NaN    0.0289    0.0263       NaN   \n",
-       "H3K27me0K36me0     0.035     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me0K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me0K36me2    0.0222     NaN  ...    0.0306    0.0122    0.0016    0.0008   \n",
-       "H3K27me0K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me1K36me0    0.0043     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me1K36me2       NaN     NaN  ...    0.0025    0.0294    0.0011    0.0039   \n",
-       "H3K27me1K36me3    0.0012  0.0177  ...    0.0086    0.0004    0.0008    0.0002   \n",
-       "H3K27me2K36me0    0.0409     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me2K36me1       NaN  0.0078  ...    0.0308    0.0055    0.0044    0.0007   \n",
-       "H3K27me2K36me2       NaN     NaN  ...       NaN    0.0072    0.0147    0.0022   \n",
-       "H3K27me3K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27me3K36me1       NaN     NaN  ...       NaN       NaN       NaN    0.0272   \n",
-       "H3K27ac1K36me0       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27ac1K36me1       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K27ac1K36me2       NaN     NaN  ...    0.0209       NaN    0.0166       NaN   \n",
-       "H3K27ac1K36me3       NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3.3K27me0K36me0       0     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K56me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K56me1             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K79me0             NaN     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K79me1          0.0415     NaN  ...       NaN       NaN       NaN       NaN   \n",
-       "H3K79me2          0.0082     NaN  ...       NaN       NaN       NaN       NaN   \n",
+       "                       H3K27ac1K36me1 H3K27ac1K36me2 H3K27ac1K36me3  \\\n",
+       "2-aminoadipate                    NaN            NaN            NaN   \n",
+       "3-phosphoglycerate             0.0107         0.0061            NaN   \n",
+       "Alpha-glycerophosphate            NaN            NaN         0.0132   \n",
+       "4-pyridoxate                      NaN            NaN            NaN   \n",
+       "Aconitate                         NaN            NaN            NaN   \n",
+       "...                               ...            ...            ...   \n",
+       "C56:3 TAG                         NaN            NaN            NaN   \n",
+       "C56:2 TAG                         NaN            NaN            NaN   \n",
+       "C58:8 TAG                         NaN         0.0473            NaN   \n",
+       "C58:7 TAG                         NaN         0.0453            NaN   \n",
+       "C58:6 TAG                         NaN          0.032            NaN   \n",
        "\n",
-       "                 C56:4 TAG C56:3 TAG C56:2 TAG C58:8 TAG C58:7 TAG C58:6 TAG  \n",
-       "H3K4me0             0.0015    0.0155    0.0132    0.0494     0.017    0.0085  \n",
-       "H3K4me1             0.0027    0.0056    0.0008     0.001    0.0031    0.0004  \n",
-       "H3K4me2                NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K4ac1                NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me0K14ac0       0.0165    0.0305       NaN       NaN       NaN       NaN  \n",
-       "H3K9me1K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me2K14ac0          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me3K14ac0       0.0001     0.002    0.0015       NaN       NaN    0.0068  \n",
-       "H3K9ac1K14ac0       0.0446       NaN       NaN    0.0018    0.0026    0.0003  \n",
-       "H3K9me0K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me1K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me2K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9me3K14ac1          NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K9ac1K14ac1          NaN       NaN       NaN    0.0004    0.0005    0.0006  \n",
-       "H3K18ac0K23ac0      0.0109       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K18ac1K23ac0      0.0205       NaN    0.0164    0.0137    0.0068    0.0054  \n",
-       "H3K18ac0K23ac1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K18ac1K23ac1         NaN       NaN       NaN    0.0082    0.0104    0.0181  \n",
-       "H3K18ac0K23ub1         NaN       NaN       NaN    0.0158    0.0215       NaN  \n",
-       "H3K27me0K36me0         NaN       NaN       NaN    0.0493       NaN       NaN  \n",
-       "H3K27me0K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me0K36me2      0.0013       NaN       NaN     0.003     0.008    0.0056  \n",
-       "H3K27me0K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me1K36me2      0.0116    0.0093    0.0109    0.0176    0.0264    0.0031  \n",
-       "H3K27me1K36me3           0    0.0005    0.0009    0.0022    0.0038    0.0005  \n",
-       "H3K27me2K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me2K36me1      0.0015       NaN       NaN    0.0124    0.0365    0.0125  \n",
-       "H3K27me2K36me2      0.0015    0.0248    0.0156    0.0029    0.0161    0.0037  \n",
-       "H3K27me3K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27me3K36me1      0.0202       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27ac1K36me0         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27ac1K36me1         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K27ac1K36me2         NaN       NaN       NaN    0.0473    0.0453     0.032  \n",
-       "H3K27ac1K36me3         NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3.3K27me0K36me0       NaN       NaN    0.0232       NaN       NaN       NaN  \n",
-       "H3K56me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K56me1               NaN       NaN       NaN    0.0385    0.0205       NaN  \n",
-       "H3K79me0               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K79me1               NaN       NaN       NaN       NaN       NaN       NaN  \n",
-       "H3K79me2               NaN       NaN       NaN       NaN       NaN       NaN  \n",
+       "                       H3.3K27me0K36me0 H3K56me0 H3K56me1 H3K79me0 H3K79me1  \\\n",
+       "2-aminoadipate                      NaN      NaN      NaN      NaN      NaN   \n",
+       "3-phosphoglycerate                  NaN      NaN      NaN      NaN      NaN   \n",
+       "Alpha-glycerophosphate           0.0031      NaN   0.0293      NaN   0.0434   \n",
+       "4-pyridoxate                        NaN      NaN      NaN      NaN      NaN   \n",
+       "Aconitate                           NaN      NaN      NaN      NaN      NaN   \n",
+       "...                                 ...      ...      ...      ...      ...   \n",
+       "C56:3 TAG                           NaN      NaN      NaN      NaN      NaN   \n",
+       "C56:2 TAG                        0.0232      NaN      NaN      NaN      NaN   \n",
+       "C58:8 TAG                           NaN      NaN   0.0385      NaN      NaN   \n",
+       "C58:7 TAG                           NaN      NaN   0.0205      NaN      NaN   \n",
+       "C58:6 TAG                           NaN      NaN      NaN      NaN      NaN   \n",
        "\n",
-       "[42 rows x 225 columns]"
+       "                       H3K79me2  \n",
+       "2-aminoadipate              NaN  \n",
+       "3-phosphoglycerate          NaN  \n",
+       "Alpha-glycerophosphate    0.032  \n",
+       "4-pyridoxate                NaN  \n",
+       "Aconitate                   NaN  \n",
+       "...                         ...  \n",
+       "C56:3 TAG                   NaN  \n",
+       "C56:2 TAG                   NaN  \n",
+       "C58:8 TAG                   NaN  \n",
+       "C58:7 TAG                   NaN  \n",
+       "C58:6 TAG                   NaN  \n",
+       "\n",
+       "[225 rows x 42 columns]"
       ]
      },
      "execution_count": 11,
@@ -2585,27 +2145,41 @@
     }
    ],
    "source": [
-    "def calculate_pvalues(df,left,right):\n",
+    "def calculate_pvalues(df,mt,hm):\n",
+    "    \"\"\"\n",
+    "    :param df: A pandas dataframe containing the merged table of \"CCLE metabolomics dataset\" and \"GCP_proteomics_remapped\". Rows correspond to X, Columns correspond to Y.\n",
+    "    :param mt: A pandas dataframe containing just the metabolites portion of the merged table.\n",
+    "    :param hm: A pandas dataframe containing just the histone markers portion of the mergerd table.\n",
+    "    :return newpvalues: A pandas dataframe containg correlations's p-values that are less or equal to 0.05\n",
+    "    \n",
+    "    \"\"\"\n",
     "    df = df.dropna()._get_numeric_data()\n",
     "    dfcols = pd.DataFrame(columns=df.columns)\n",
-    "    df1 = left.dropna()._get_numeric_data()\n",
-    "    df2 = right.dropna()._get_numeric_data()\n",
-    "    df1cols = pd.DataFrame(columns=df1.columns)\n",
-    "    df2cols = pd.DataFrame(columns=df2.columns)\n",
     "    pvalues = dfcols.transpose().join(dfcols, how='outer')\n",
-    "    newpvalues = df2cols.transpose().join(df1cols, how='outer')\n",
+    "    df_mt = mt.dropna()._get_numeric_data()\n",
+    "    df_hm = hm.dropna()._get_numeric_data()\n",
+    "    df_mtcols = pd.DataFrame(columns=df_mt.columns)\n",
+    "    df_hmcols = pd.DataFrame(columns=df_hm.columns)\n",
+    "    newpvalues = df_mtcols.transpose().join(df_hmcols, how='outer')\n",
     "    for r in (df.columns):\n",
     "        for c in (df.columns):\n",
     "            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)\n",
-    "    for r in (df1.columns):\n",
-    "        for c in (df2.columns):\n",
+    "    for r in (df_mt.columns):\n",
+    "        for c in (df_hm.columns):\n",
     "            if pvalues[r][c] <= 0.05:\n",
-    "                newpvalues[r][c] = pvalues[r][c]\n",
+    "                newpvalues[c][r] = pvalues[r][c]\n",
     "    newpvalues.to_csv('pvalues<0.05.csv')\n",
     "    return newpvalues\n",
     "\n",
-    "calculate_pvalues(result,left,right)"
+    "calculate_pvalues(merge_tb,metabolites,histone_markers)"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {

From 2a1121ae39accb5d66a8727794aea99b52e85a44 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Wed, 7 Oct 2020 16:21:10 -0400
Subject: [PATCH 08/18] add new function generate_corrtable that return
 correlations with p-values <=0.05

---
 src/python/EDA/MET2GCP_CORR.ipynb | 441 ++++++++++++++++++++++++++++++
 1 file changed, 441 insertions(+)

diff --git a/src/python/EDA/MET2GCP_CORR.ipynb b/src/python/EDA/MET2GCP_CORR.ipynb
index 5c6f257..cda94fb 100644
--- a/src/python/EDA/MET2GCP_CORR.ipynb
+++ b/src/python/EDA/MET2GCP_CORR.ipynb
@@ -2174,6 +2174,447 @@
     "calculate_pvalues(merge_tb,metabolites,histone_markers)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.115304</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.090798</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.0789003</td>\n",
+       "      <td>0.0934042</td>\n",
+       "      <td>0.0901499</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0870968</td>\n",
+       "      <td>0.124921</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.0906703</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0936897</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.108437</td>\n",
+       "      <td>-0.126376</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0813346</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.0546407</td>\n",
+       "      <td>-0.0106307</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Aconitate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0622422</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0451949</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0936905</td>\n",
+       "      <td>0.0710202</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <td>-0.0920316</td>\n",
+       "      <td>-0.124924</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.0820218</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.0853012</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <td>-0.08258</td>\n",
+       "      <td>-0.127105</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.118642</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.0749557</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <td>-0.0228763</td>\n",
+       "      <td>-0.121581</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.158414</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.114602</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.0751426</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <td>-0.0373262</td>\n",
+       "      <td>-0.115441</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.141172</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.124879</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.088506</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "      <td>-0.0550701</td>\n",
+       "      <td>-0.133468</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.107336</td>\n",
+       "      <td>-0.155054</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-0.126067</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>225 rows × 42 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                          H3K4me0    H3K4me1    H3K4me2   H3K4ac1  \\\n",
+       "2-aminoadipate                NaN        NaN        NaN       NaN   \n",
+       "3-phosphoglycerate            NaN        NaN        NaN       NaN   \n",
+       "Alpha-glycerophosphate        NaN        NaN  0.0870968  0.124921   \n",
+       "4-pyridoxate                  NaN        NaN        NaN       NaN   \n",
+       "Aconitate                     NaN  0.0622422        NaN       NaN   \n",
+       "...                           ...        ...        ...       ...   \n",
+       "C56:3 TAG              -0.0920316  -0.124924        NaN       NaN   \n",
+       "C56:2 TAG                -0.08258  -0.127105        NaN       NaN   \n",
+       "C58:8 TAG              -0.0228763  -0.121581        NaN       NaN   \n",
+       "C58:7 TAG              -0.0373262  -0.115441        NaN       NaN   \n",
+       "C58:6 TAG              -0.0550701  -0.133468        NaN       NaN   \n",
+       "\n",
+       "                       H3K9me0K14ac0 H3K9me1K14ac0 H3K9me2K14ac0  \\\n",
+       "2-aminoadipate                   NaN           NaN           NaN   \n",
+       "3-phosphoglycerate               NaN           NaN           NaN   \n",
+       "Alpha-glycerophosphate           NaN    -0.0906703           NaN   \n",
+       "4-pyridoxate                     NaN           NaN           NaN   \n",
+       "Aconitate                  0.0451949           NaN           NaN   \n",
+       "...                              ...           ...           ...   \n",
+       "C56:3 TAG                 -0.0820218           NaN           NaN   \n",
+       "C56:2 TAG                        NaN           NaN           NaN   \n",
+       "C58:8 TAG                        NaN           NaN           NaN   \n",
+       "C58:7 TAG                        NaN           NaN           NaN   \n",
+       "C58:6 TAG                        NaN           NaN           NaN   \n",
+       "\n",
+       "                       H3K9me3K14ac0 H3K9ac1K14ac0 H3K9me0K14ac1  ...  \\\n",
+       "2-aminoadipate                   NaN      0.115304           NaN  ...   \n",
+       "3-phosphoglycerate          0.090798           NaN           NaN  ...   \n",
+       "Alpha-glycerophosphate           NaN           NaN     0.0936897  ...   \n",
+       "4-pyridoxate                     NaN           NaN           NaN  ...   \n",
+       "Aconitate                  0.0936905     0.0710202           NaN  ...   \n",
+       "...                              ...           ...           ...  ...   \n",
+       "C56:3 TAG                 -0.0853012           NaN           NaN  ...   \n",
+       "C56:2 TAG                  -0.118642           NaN           NaN  ...   \n",
+       "C58:8 TAG                        NaN     -0.158414           NaN  ...   \n",
+       "C58:7 TAG                        NaN     -0.141172           NaN  ...   \n",
+       "C58:6 TAG                  -0.107336     -0.155054           NaN  ...   \n",
+       "\n",
+       "                       H3K27ac1K36me0 H3K27ac1K36me1 H3K27ac1K36me2  \\\n",
+       "2-aminoadipate                    NaN            NaN            NaN   \n",
+       "3-phosphoglycerate          0.0789003      0.0934042      0.0901499   \n",
+       "Alpha-glycerophosphate            NaN            NaN            NaN   \n",
+       "4-pyridoxate                      NaN            NaN            NaN   \n",
+       "Aconitate                         NaN            NaN            NaN   \n",
+       "...                               ...            ...            ...   \n",
+       "C56:3 TAG                         NaN            NaN            NaN   \n",
+       "C56:2 TAG                         NaN            NaN            NaN   \n",
+       "C58:8 TAG                         NaN            NaN      -0.114602   \n",
+       "C58:7 TAG                         NaN            NaN      -0.124879   \n",
+       "C58:6 TAG                         NaN            NaN      -0.126067   \n",
+       "\n",
+       "                       H3K27ac1K36me3 H3.3K27me0K36me0 H3K56me0   H3K56me1  \\\n",
+       "2-aminoadipate                    NaN              NaN      NaN        NaN   \n",
+       "3-phosphoglycerate                NaN              NaN      NaN        NaN   \n",
+       "Alpha-glycerophosphate       0.108437        -0.126376      NaN  0.0813346   \n",
+       "4-pyridoxate                      NaN              NaN      NaN        NaN   \n",
+       "Aconitate                         NaN              NaN      NaN        NaN   \n",
+       "...                               ...              ...      ...        ...   \n",
+       "C56:3 TAG                         NaN              NaN      NaN        NaN   \n",
+       "C56:2 TAG                         NaN       -0.0749557      NaN        NaN   \n",
+       "C58:8 TAG                         NaN              NaN      NaN  0.0751426   \n",
+       "C58:7 TAG                         NaN              NaN      NaN   0.088506   \n",
+       "C58:6 TAG                         NaN              NaN      NaN        NaN   \n",
+       "\n",
+       "                       H3K79me0   H3K79me1   H3K79me2  \n",
+       "2-aminoadipate              NaN        NaN        NaN  \n",
+       "3-phosphoglycerate          NaN        NaN        NaN  \n",
+       "Alpha-glycerophosphate      NaN -0.0546407 -0.0106307  \n",
+       "4-pyridoxate                NaN        NaN        NaN  \n",
+       "Aconitate                   NaN        NaN        NaN  \n",
+       "...                         ...        ...        ...  \n",
+       "C56:3 TAG                   NaN        NaN        NaN  \n",
+       "C56:2 TAG                   NaN        NaN        NaN  \n",
+       "C58:8 TAG                   NaN        NaN        NaN  \n",
+       "C58:7 TAG                   NaN        NaN        NaN  \n",
+       "C58:6 TAG                   NaN        NaN        NaN  \n",
+       "\n",
+       "[225 rows x 42 columns]"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def generate_corrtable(df,mt,hm,corr):\n",
+    "    \"\"\"\n",
+    "    :param df: A pandas dataframe containing the merged table of \"CCLE metabolomics dataset\" and \"GCP_proteomics_remapped\". Rows correspond to X, Columns correspond to Y.\n",
+    "    :param mt: A pandas dataframe containing just the metabolites portion of the merged table.\n",
+    "    :param hm: A pandas dataframe containing just the histone markers portion of the mergerd table.\n",
+    "    :param corr: A pandas dataframe containing previous generated correlation value between metabolites and histone markers.\n",
+    "    :return new_corr: A pandas dataframe containg correlation that has p-values <= 0.05\n",
+    "    \n",
+    "    \"\"\"\n",
+    "    df = df.dropna()._get_numeric_data()\n",
+    "    dfcols = pd.DataFrame(columns=df.columns)\n",
+    "    pvalues = dfcols.transpose().join(dfcols, how='outer')\n",
+    "    df_mt = mt.dropna()._get_numeric_data()\n",
+    "    df_hm = hm.dropna()._get_numeric_data()\n",
+    "    df_mtcols = pd.DataFrame(columns=df_mt.columns)\n",
+    "    df_hmcols = pd.DataFrame(columns=df_hm.columns)\n",
+    "    newpvalues = df_mtcols.transpose().join(df_hmcols, how='outer')\n",
+    "    new_corr = df_mtcols.transpose().join(df_hmcols, how='outer')\n",
+    "    for r in (df.columns):\n",
+    "        for c in (df.columns):\n",
+    "            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)\n",
+    "    for r in (df_mt.columns):\n",
+    "        for c in (df_hm.columns):\n",
+    "            if pvalues[r][c] <= 0.05:\n",
+    "                newpvalues[c][r] = pvalues[r][c] \n",
+    "    for r in (df_mt.columns):\n",
+    "        for c in (df_hm.columns):\n",
+    "            if np.isnan(newpvalues[c][r]) == False:\n",
+    "                new_corr[c][r] = corr[c][r]\n",
+    "    return new_corr\n",
+    "    new_corr.to_csv('new_corr.csv')\n",
+    "generate_corrtable(merge_tb,metabolites, histone_markers, corr)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,

From 62888c726a68db63651480c330c881dcdc7c918b Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Wed, 7 Oct 2020 16:26:19 -0400
Subject: [PATCH 09/18] modify function generate_corrtable

---
 src/python/EDA/MET2GCP_CORR.ipynb | 408 +-----------------------------
 1 file changed, 4 insertions(+), 404 deletions(-)

diff --git a/src/python/EDA/MET2GCP_CORR.ipynb b/src/python/EDA/MET2GCP_CORR.ipynb
index cda94fb..dab5d39 100644
--- a/src/python/EDA/MET2GCP_CORR.ipynb
+++ b/src/python/EDA/MET2GCP_CORR.ipynb
@@ -2176,410 +2176,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>H3K4me0</th>\n",
-       "      <th>H3K4me1</th>\n",
-       "      <th>H3K4me2</th>\n",
-       "      <th>H3K4ac1</th>\n",
-       "      <th>H3K9me0K14ac0</th>\n",
-       "      <th>H3K9me1K14ac0</th>\n",
-       "      <th>H3K9me2K14ac0</th>\n",
-       "      <th>H3K9me3K14ac0</th>\n",
-       "      <th>H3K9ac1K14ac0</th>\n",
-       "      <th>H3K9me0K14ac1</th>\n",
-       "      <th>...</th>\n",
-       "      <th>H3K27ac1K36me0</th>\n",
-       "      <th>H3K27ac1K36me1</th>\n",
-       "      <th>H3K27ac1K36me2</th>\n",
-       "      <th>H3K27ac1K36me3</th>\n",
-       "      <th>H3.3K27me0K36me0</th>\n",
-       "      <th>H3K56me0</th>\n",
-       "      <th>H3K56me1</th>\n",
-       "      <th>H3K79me0</th>\n",
-       "      <th>H3K79me1</th>\n",
-       "      <th>H3K79me2</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>2-aminoadipate</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.115304</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3-phosphoglycerate</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.090798</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>0.0789003</td>\n",
-       "      <td>0.0934042</td>\n",
-       "      <td>0.0901499</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>Alpha-glycerophosphate</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0870968</td>\n",
-       "      <td>0.124921</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.0906703</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0936897</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.108437</td>\n",
-       "      <td>-0.126376</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0813346</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.0546407</td>\n",
-       "      <td>-0.0106307</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4-pyridoxate</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>Aconitate</th>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0622422</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0451949</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0936905</td>\n",
-       "      <td>0.0710202</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>C56:3 TAG</th>\n",
-       "      <td>-0.0920316</td>\n",
-       "      <td>-0.124924</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.0820218</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.0853012</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>C56:2 TAG</th>\n",
-       "      <td>-0.08258</td>\n",
-       "      <td>-0.127105</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.118642</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.0749557</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>C58:8 TAG</th>\n",
-       "      <td>-0.0228763</td>\n",
-       "      <td>-0.121581</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.158414</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.114602</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.0751426</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>C58:7 TAG</th>\n",
-       "      <td>-0.0373262</td>\n",
-       "      <td>-0.115441</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.141172</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.124879</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>0.088506</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>C58:6 TAG</th>\n",
-       "      <td>-0.0550701</td>\n",
-       "      <td>-0.133468</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.107336</td>\n",
-       "      <td>-0.155054</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>...</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>-0.126067</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>225 rows × 42 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                          H3K4me0    H3K4me1    H3K4me2   H3K4ac1  \\\n",
-       "2-aminoadipate                NaN        NaN        NaN       NaN   \n",
-       "3-phosphoglycerate            NaN        NaN        NaN       NaN   \n",
-       "Alpha-glycerophosphate        NaN        NaN  0.0870968  0.124921   \n",
-       "4-pyridoxate                  NaN        NaN        NaN       NaN   \n",
-       "Aconitate                     NaN  0.0622422        NaN       NaN   \n",
-       "...                           ...        ...        ...       ...   \n",
-       "C56:3 TAG              -0.0920316  -0.124924        NaN       NaN   \n",
-       "C56:2 TAG                -0.08258  -0.127105        NaN       NaN   \n",
-       "C58:8 TAG              -0.0228763  -0.121581        NaN       NaN   \n",
-       "C58:7 TAG              -0.0373262  -0.115441        NaN       NaN   \n",
-       "C58:6 TAG              -0.0550701  -0.133468        NaN       NaN   \n",
-       "\n",
-       "                       H3K9me0K14ac0 H3K9me1K14ac0 H3K9me2K14ac0  \\\n",
-       "2-aminoadipate                   NaN           NaN           NaN   \n",
-       "3-phosphoglycerate               NaN           NaN           NaN   \n",
-       "Alpha-glycerophosphate           NaN    -0.0906703           NaN   \n",
-       "4-pyridoxate                     NaN           NaN           NaN   \n",
-       "Aconitate                  0.0451949           NaN           NaN   \n",
-       "...                              ...           ...           ...   \n",
-       "C56:3 TAG                 -0.0820218           NaN           NaN   \n",
-       "C56:2 TAG                        NaN           NaN           NaN   \n",
-       "C58:8 TAG                        NaN           NaN           NaN   \n",
-       "C58:7 TAG                        NaN           NaN           NaN   \n",
-       "C58:6 TAG                        NaN           NaN           NaN   \n",
-       "\n",
-       "                       H3K9me3K14ac0 H3K9ac1K14ac0 H3K9me0K14ac1  ...  \\\n",
-       "2-aminoadipate                   NaN      0.115304           NaN  ...   \n",
-       "3-phosphoglycerate          0.090798           NaN           NaN  ...   \n",
-       "Alpha-glycerophosphate           NaN           NaN     0.0936897  ...   \n",
-       "4-pyridoxate                     NaN           NaN           NaN  ...   \n",
-       "Aconitate                  0.0936905     0.0710202           NaN  ...   \n",
-       "...                              ...           ...           ...  ...   \n",
-       "C56:3 TAG                 -0.0853012           NaN           NaN  ...   \n",
-       "C56:2 TAG                  -0.118642           NaN           NaN  ...   \n",
-       "C58:8 TAG                        NaN     -0.158414           NaN  ...   \n",
-       "C58:7 TAG                        NaN     -0.141172           NaN  ...   \n",
-       "C58:6 TAG                  -0.107336     -0.155054           NaN  ...   \n",
-       "\n",
-       "                       H3K27ac1K36me0 H3K27ac1K36me1 H3K27ac1K36me2  \\\n",
-       "2-aminoadipate                    NaN            NaN            NaN   \n",
-       "3-phosphoglycerate          0.0789003      0.0934042      0.0901499   \n",
-       "Alpha-glycerophosphate            NaN            NaN            NaN   \n",
-       "4-pyridoxate                      NaN            NaN            NaN   \n",
-       "Aconitate                         NaN            NaN            NaN   \n",
-       "...                               ...            ...            ...   \n",
-       "C56:3 TAG                         NaN            NaN            NaN   \n",
-       "C56:2 TAG                         NaN            NaN            NaN   \n",
-       "C58:8 TAG                         NaN            NaN      -0.114602   \n",
-       "C58:7 TAG                         NaN            NaN      -0.124879   \n",
-       "C58:6 TAG                         NaN            NaN      -0.126067   \n",
-       "\n",
-       "                       H3K27ac1K36me3 H3.3K27me0K36me0 H3K56me0   H3K56me1  \\\n",
-       "2-aminoadipate                    NaN              NaN      NaN        NaN   \n",
-       "3-phosphoglycerate                NaN              NaN      NaN        NaN   \n",
-       "Alpha-glycerophosphate       0.108437        -0.126376      NaN  0.0813346   \n",
-       "4-pyridoxate                      NaN              NaN      NaN        NaN   \n",
-       "Aconitate                         NaN              NaN      NaN        NaN   \n",
-       "...                               ...              ...      ...        ...   \n",
-       "C56:3 TAG                         NaN              NaN      NaN        NaN   \n",
-       "C56:2 TAG                         NaN       -0.0749557      NaN        NaN   \n",
-       "C58:8 TAG                         NaN              NaN      NaN  0.0751426   \n",
-       "C58:7 TAG                         NaN              NaN      NaN   0.088506   \n",
-       "C58:6 TAG                         NaN              NaN      NaN        NaN   \n",
-       "\n",
-       "                       H3K79me0   H3K79me1   H3K79me2  \n",
-       "2-aminoadipate              NaN        NaN        NaN  \n",
-       "3-phosphoglycerate          NaN        NaN        NaN  \n",
-       "Alpha-glycerophosphate      NaN -0.0546407 -0.0106307  \n",
-       "4-pyridoxate                NaN        NaN        NaN  \n",
-       "Aconitate                   NaN        NaN        NaN  \n",
-       "...                         ...        ...        ...  \n",
-       "C56:3 TAG                   NaN        NaN        NaN  \n",
-       "C56:2 TAG                   NaN        NaN        NaN  \n",
-       "C58:8 TAG                   NaN        NaN        NaN  \n",
-       "C58:7 TAG                   NaN        NaN        NaN  \n",
-       "C58:6 TAG                   NaN        NaN        NaN  \n",
-       "\n",
-       "[225 rows x 42 columns]"
-      ]
-     },
-     "execution_count": 13,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "def generate_corrtable(df,mt,hm,corr):\n",
     "    \"\"\"\n",
@@ -2610,8 +2209,9 @@
     "        for c in (df_hm.columns):\n",
     "            if np.isnan(newpvalues[c][r]) == False:\n",
     "                new_corr[c][r] = corr[c][r]\n",
-    "    return new_corr\n",
     "    new_corr.to_csv('new_corr.csv')\n",
+    "    return new_corr\n",
+    "    \n",
     "generate_corrtable(merge_tb,metabolites, histone_markers, corr)"
    ]
   },

From 5cd82cc6fafbe1614d0b02ae7ca2fe058ddb3a97 Mon Sep 17 00:00:00 2001
From: ScottCampit <scampit@umich.edu>
Date: Wed, 7 Oct 2020 16:40:50 -0400
Subject: [PATCH 10/18] add all

---
 src/matlab/CBM/CancerCellLineModels.mlx | Bin 13666 -> 11465 bytes
 srv/matlab/CBM/CancerCellLineModels.m   | 385 +++++++++++-------------
 2 files changed, 180 insertions(+), 205 deletions(-)

diff --git a/src/matlab/CBM/CancerCellLineModels.mlx b/src/matlab/CBM/CancerCellLineModels.mlx
index d5a2da58a02e892916abacccda6885fd7ad8bdb1..22332cd1d42e8ccf7cb4ffabbe6c136e4663347c 100644
GIT binary patch
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diff --git a/srv/matlab/CBM/CancerCellLineModels.m b/srv/matlab/CBM/CancerCellLineModels.m
index d223931..a40602a 100644
--- a/srv/matlab/CBM/CancerCellLineModels.m
+++ b/srv/matlab/CBM/CancerCellLineModels.m
@@ -5,6 +5,11 @@
 % modification related demand reaction from a constrained eGEMM model using the 
 % <https://www.ebi.ac.uk/gxa/experiments/E-MTAB-2770/Results CCLE RNASeq> data 
 % from <https://www.nature.com/articles/nature11003 Barretina et al., 2012>. 
+% 
+% *UPDATES:*
+%% 
+% * Included gamma score that takes into account the ratio between up-regulated 
+% and down-regulated histone writers and erasers.
 %% 1. Initialize COBRA
 % Below are several preprocessig steps, including:
 %% 
@@ -24,46 +29,60 @@
 % # |07132020.mat:| contains all reactions from the metabolic model
 % # |09072020_write_only.mat|: contains only histone writer reactions
 
-%load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
-load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
-%% 
-% Set the objective function to maximize biomass
-
-% Set up objective function
-eGEM.c = zeros(size(eGEM.c));
-eGEM.c(string(eGEM.rxns) == 'biomass_objective') = 1;
-%% 
-% Set the lower bound for methionine uptake
-
-% Set methionine lower bound to a really small number
-[~, pos] = ismember({'EX_met_L_e'}, eGEM.rxns);
-eGEM.lb(pos) = -1;
+load ~/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
+eGEM_all = eGEM;
+load ~/Data/Reconstructions/eGEM/09072020_write_only.mat
+eGEM_write = eGEM;
+models = {eGEM_all, eGEM_write};
+%% 3. Add constraints to metabolic models
+% The following code block sets the following constraints to the metabolic model:
 %% 
-% Let's turn off some specific reactions that cause trouble with metabolic models.
+% # Set the objective function to maximize biomass
+% # Set the lower bound for methionine uptake
+% # Let's turn off some specific reactions that cause trouble with metabolic 
+% models.
 
-% Turn off specific reactions
-posToTurnOff           = find(ismember(eGEM.rxns, {'ALR', 'MGSA', 'MGSA2'}));
-eGEM.ub(posToTurnOff) = 0; eGEM.lb(posToTurnOff) = 0;
-%% 
-% Assign values of parameters for the iMAT algorithm.
+for i = 1:length(models)
+    mdl = models{i};
+    
+    % 1. Set up objective function
+    mdl.c = zeros(size(mdl.c));
+    mdl.c(string(mdl.rxns) == 'biomass_objective') = 1;
+    
+    % 2. Set methionine lower bound to a really small number
+    [~, pos] = ismember({'EX_met_L_e'}, mdl.rxns);
+    mdl.lb(pos) = -1;
+    
+    % 3. Turn off specific reactions
+    posToTurnOff           = find(ismember(mdl.rxns, {'ALR', 'MGSA', 'MGSA2'}));
+    mdl.ub(posToTurnOff) = 0; mdl.lb(posToTurnOff) = 0;
+    
+    % 4. Save the constrained model
+    models{i} = mdl;
+end
+%% 4. Assign hyperparameters for the optimization procedure
+% Assign default hyperparameter values for the iMAT algorithm.
 
 % Set up hyperparameters for the linear programming section
-hyperparams.eps = []; hyperparams.isgenes = true;
-hyperparams.kap = []; hyperparams.eps2 = [];
-hyperparams.rho = []; hyperparams.pfba = false;
-hyperparams.kap2 = [];
-%% 
+hyperparams.eps = [];  hyperparams.isgenes = true;
+hyperparams.kap = [];  hyperparams.eps2 = [];
+hyperparams.rho = [];  hyperparams.pfba = false;
+hyperparams.kap2 = []; hyperparams.gamma =[];
+hyperparams.hscore = false;
+%% 5. Set the acetylation and methylation objective coefficients to be a specific value
 % Set the activity coefficient for demand reactions to be a fixed value, based 
 % on the medium perturbation experiments I ran with this current iteration of 
 % the eGEMM.
 
 % Get list of demand reactions from eGEMM
-%pos = [3773:3777]; % Bulk reactions only
 pos = [3773:3777, 3780:3799];
 dm_reactions = string(eGEM.rxns(pos))';
+
 % Activity coefficient for demand reactions
 epsilon_methylation = 0.069;
 epsilon_acetylation = 0.069;
+
+% Create an epsilon vector
 for i = 1:length(dm_reactions)
     if contains(lower(dm_reactions(i)), "ac")
         epsilon(i, 1) = epsilon_acetylation;
@@ -71,15 +90,36 @@
         epsilon(i, 1) = epsilon_methylation;
     end
 end
+%% 6. SANITY CHECK 1: Compute base metabolic model fluxes and growth rates for comparison
+% Compute the solution for an unconstrained metabolic model. This will be the 
+% control model.
 
-%% 4. Preprocess Cancer Cell Line Encyclopedia data
+for i = 1:length(dm_reactions)
+    [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
+    
+    % Add activity to demand reactions
+    tmp = eGEM;
+    tmp.c(rxnPos) = epsilon(i);
+    
+    [~, soln] = CFR(tmp, hyperparams, {}, {});
+    
+    grate(1, i) = soln.x(3743);
+
+    tmp2 = tmp;
+    tmp2.lb(3743) = soln.x(3743) * 0.99;
+    tmp2.c(3743)  = 0;                                                
+    
+    [~, soln] = CFR(tmp, hyperparams, {}, {});
+    flux(1, i)  = soln.x(rxnPos);
+end
+%% 7. Preprocess Cancer Cell Line Encyclopedia data
 % Load data from the Cancer Cell Line Encyclopedia
 % This module uses RNASeq data from the CCLE and performs some basic preprocessing. 
 % The data was normalized to TPM. There are 864 cancer cell lines by 1020 metabolic 
 % genes that map onto RECON1 using Entrez identifiers.
 
-load /nfs/turbo/umms-csriram/scampit/Data/RNASeq/CCLE/CCLE_RNASeq.mat
-load /nfs/turbo/umms-csriram/scampit/Data/Proteomics/CCLE/CCLE_Proteomics.mat
+load ~/Data/RNASeq/CCLE/CCLE_RNASeq.mat
+load ~/Data/Proteomics/CCLE/CCLE_Proteomics.mat
 % Get cell line intersections between the RNASeq dataset and the Global Chromatin Profiles
 
 [~, ia, ib] = intersect(cell_lines, string(cell_names));
@@ -93,203 +133,138 @@
 medium = medium(ib);
 cultures = cultures(ib);
 tissues = tissues(ib);
-%% 5. Compute CCLE metabolic fluxes from the eGEMM
-
-%fileName = '~/Data/CBM/eGEM/CCLE_fluxes_all.mat';
-fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers.mat';
-%fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all.mat';
-
-%save(fileName, '-v7.3')
+%% 8. Preprocess histone marker data
 % Ensure that histone readers and writers are being used in the metabolic model
 % First, let's get gene identifiers that are associated with histone writers 
 % and erasers.
 
 % Load up curated histone reaction map
-histoneReactionFile = '/nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/Epigenome-Scale Metabolic Reconstruction Map.xlsx';
-histoneReactionMap = xlsread(histoneReactionFile, 'Genes');
+histoneReactionFile = '~/Data/Reconstructions/eGEM/Epigenome-Scale Metabolic Reconstruction Map.xlsx';
+histoneReactionMap = readcell(histoneReactionFile, 'Sheet', 'Genes');
+histoneReactionMap(ismissing(string(histoneReactionMap(:, 8))), :) = [];
 
 % Edit Entrez 
-histone_entrez = histoneReactionMap(:, 1);
-histone_bigg = string(histone_entrez + .1);
+histone_entrez = cell2mat(histoneReactionMap(2:end, 8));
 histone_entrez = string(histone_entrez);
+% SANITY CHECK 2: Intersecting Entrez IDs between metabolic model and dataset
+% This code block just checks and sees if there are any intersecting genes with 
+% the metabolic model and the RNASeq data.
 
-% Demand reactions
-flux = cell(length(dm_reactions), 1);
-grate = cell(length(dm_reactions), 1);
-save(fileName, 'flux', 'grate');
-
-medium_file = '/nfs/turbo/umms-csriram/scampit/Data/Medium/FINAL_MEDIUM_MAP.xlsx';
-
-eGEM.genes = eGEM.geneEntrezID;
-entrez_ids = string(entrez_ids);
-
-hyperparams.hscore = false;
-hyperparams.gamma = [];
-
-for i = 1:length(dm_reactions)
-    [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
-    tmp = eGEM;
-    tmp.c(rxnPos) = epsilon(i);
-    
-    % Cell lines
-    for j = 1:size(log2fc, 2)
+tmp1 = [];
+tmp2 = [];
+for j = 1:size(log2fc, 2)
         
-        % Get differentially expressed genes for each cancer cell line.
-        DE{j}.name    = cell_names(j);
-        DE{j}.medium  = medium(j);
-        DE{j}.culture = cultures(j);
-        DE{j}.tissue  = tissues(j);
-        DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
-        DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
-        
-        % Constrain the metabolic model to be medium-specific
-        mediumModel = addMediumConstraints(tmp, medium(j), medium_file);
-        
-        try
-            % Compute flux using iMAT 
-            [mdl, soln] = CFR(mediumModel, hyperparams, ...
-                              DE{j}.upreg, DE{j}.downreg);
-                                           
-            % Get the growth rate
-            grates(j, 1) = soln.x(3743);
-            
-            % Ensure there's growth
-            tmp2 = mediumModel;
-            tmp2.lb(3743) = soln.x(3743) * 0.99;
-            tmp2.c(3743)  = 0;                                                
-            
-            % Compute metabolic flux when optimizing histone markers
-            [~, soln] = CFR(tmp2, hyperparams, DE{j}.upreg, DE{j}.downreg);
+    % Get differentially expressed genes for each cancer cell line.
+    DE{j}.name    = cell_names(j);
+    DE{j}.medium  = medium(j);
+    DE{j}.culture = cultures(j);
+    DE{j}.tissue  = tissues(j);
+    DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
+    DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
     
-            % Store data here
-            fluxes(:, j) = soln.x(1:length(eGEM.rxns));
-        catch ME
-            grates(j, 1) = NaN;
-            fluxes(:, j) = NaN(length(eGEM.rxns), 1);
-        end
-        
-    end
-    flux{i, 1} = fluxes;
-    grate{i, 1} = grates;
-    save(fileName, 'flux', 'grate', 'j', 'i', '-append');
+    gene_list = [DE{j}.upreg; DE{j}.downreg];
+    [~, ia, ib] = intersect(string(gene_list), string(histone_entrez));
+    
+    tmp1 = [tmp1; ia];
+    tmp2 = [tmp2; ib];
     
 end
-%% 6. Writers / Erasers Ratio Parameter
-
-load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
-%load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
 %% 
-% Set the objective function to maximize biomass
-
-% Set up objective function
-eGEM.c = zeros(size(eGEM.c));
-eGEM.c(string(eGEM.rxns) == 'biomass_objective') = 1;
+% Since tmp1 and tmp2 are not empty, we are getting some histone markers.
+%% 9. Compute CCLE metabolic fluxes from the eGEMM
+% The sequence of steps for this code block is:
 %% 
-% Set the lower bound for methionine uptake
+% # Iterate through reconstruction with all reactions and writers only
+% # 
 
-% Set methionine lower bound to a really small number
-[~, pos] = ismember({'EX_met_L_e'}, eGEM.rxns);
-eGEM.lb(pos) = -1;
-%% 
-% Let's turn off some specific reactions that cause trouble with metabolic models.
+filepaths = [ ...
+    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_all.mat", ...
+    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_all_gamma.mat", ...
+    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_writers.mat", ...
+    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_writers_gamma.mat", ...
+];
 
-% Turn off specific reactions
-posToTurnOff           = find(ismember(eGEM.rxns, {'ALR', 'MGSA', 'MGSA2'}));
-eGEM.ub(posToTurnOff) = 0; eGEM.lb(posToTurnOff) = 0;
-%% 
-% Assign values of parameters for the iMAT algorithm.
-
-% Set up hyperparameters for the linear programming section
-hyperparams.eps = []; hyperparams.isgenes = true;
-hyperparams.kap = []; hyperparams.eps2 = [];
-hyperparams.rho = []; hyperparams.pfba = false;
-hyperparams.kap2 = [];
+switches = ["No gamma", "Gamma"];
 
-% Demand reactions
-flux = cell(length(dm_reactions), 1);
-grate = cell(length(dm_reactions), 1);
-
-%fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers_gamma.mat';
-fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all_gamma.mat';
-save(fileName, 'flux', 'grate');
-
-eGEM.genes = eGEM.geneEntrezID;
-entrez_ids = string(entrez_ids);
-medium_file = '/nfs/turbo/umms-csriram/scampit/Data/Medium/FINAL_MEDIUM_MAP.xlsx';
-
-for i = 1:length(dm_reactions)
+% Switch between reconstruction with all reactions and writers only
+for i = 1:length(models)
+    mdl = models{i};
+    mdl.genes = mdl.geneEntrezID;
+    entrez_ids = string(entrez_ids);
     
-    % Set the objective coefficient for the model to be 0.069.
-    [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
-    tmp = eGEM;
-    tmp.c(rxnPos) = epsilon(i);
+    flux = cell(length(dm_reactions), 1);
+    grate = cell(length(dm_reactions), 1);
     
-    for j = 1:size(log2fc, 2)
-        
-        % Get differentially expressed genes for each cancer cell line.
-        DE{j}.name    = cell_names(j);
-        DE{j}.medium  = medium(j);
-        DE{j}.culture = cultures(j);
-        DE{j}.tissue  = tissues(j);
-        DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
-        DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
-        
-        gamma = 0;
-                
-        % Compute a score that reflects the proportion of up and
-        % downregulated writers / erasers
-        if contains(lower(dm_reactions(i)), "ac")
-            writers = histone_entrez(53:61);
-            erasers = histone_entrez(62:80);
-        elseif contains(lower(dm_reactions(i)), "me")
-            writers = histone_entrez(21:52);
-            erasers = histone_entrez(1:20);
-        end
-        
-        % Compute upregulated section / numerator
-        z_up_write = sum(ismember(string(DE{j}.upreg), string(writers)), 'all') + 0.1;
-        z_up_erase = sum(ismember(string(DE{j}.upreg), string(erasers)), 'all') + 0.1;
-        
-        % Compute downregulated section / denominator
-        z_down_write = sum(ismember(string(DE{j}.downreg), string(writers))) + 0.1;
-        z_down_erase = sum(ismember(string(DE{j}.downreg), string(erasers)), 'all') + 0.1;
+    % Run through all histone reactions
+    for j = 1:length(dm_reactions)
+        [~, rxnPos] = ismember(dm_reactions(j), mdl.rxns);
+        tmp = mdl;
+        tmp.c(rxnPos) = epsilon(j);
         
-        % Compute gamma using numerator / denominator
-        numerator = (z_up_write / z_up_erase);
-        denominator = (z_down_write / z_down_erase);
-        gamma = log(numerator / denominator);
-        hyperparams.gamma = gamma;
-        
-        % Constrain the metabolic model to be medium-specific
-        mediumModel = addMediumConstraints(tmp, medium(j), medium_file);
-        
-        try
-            % Compute flux using iMAT 
-            hyperparams.hscore = false;
-            [mdl, soln] = CFR(mediumModel, hyperparams, ...
-                              DE{j}.upreg, DE{j}.downreg);
-                                           
-            % Get the growth rate
-            grates(j, 1) = soln.x(3743);
-            
-            % Ensure there's growth
-            tmp2 = mediumModel;
-            tmp2.lb(3743) = soln.x(3743) * 0.99;
-            tmp2.c(3743)  = 0;     
+        % Run through all cancer cell lines
+        for k = 1:size(log2fc, 2)
+    
+            % Get differentially expressed genes for each cancer cell line.
+            DE{k}.name    = cell_names(k);
+            DE{k}.medium  = medium(k);
+            DE{k}.culture = cultures(k);
+            DE{k}.tissue  = tissues(k);
+            DE{k}.upreg   = entrez_ids(log2fc(:, k) > 0 & pvalue(:, k) <= 0.05);
+            DE{k}.downreg = entrez_ids(log2fc(:, k) < 0 & pvalue(:, k) <= 0.05);
             
-            hyperparams.hscore = true;
-            % Compute metabolic flux when optimizing histone markers
-            [~, soln] = CFR(tmp2, hyperparams, ...
-                            DE{j}.upreg, DE{j}.downreg);
+            % Constrain the metabolic model to be medium-specific
+            mediumModel = addMediumConstraints(tmp, medium(k));
     
-            % Store data here
-            fluxes(:, j) = soln.x(1:length(eGEM.rxns));
-        catch ME
-            grates(j, 1) = NaN;
-            fluxes(:, j) = NaN(length(eGEM.rxns), 1);
+            % Switch between computing gamma (m == 2) and no gamma (m == 1)
+            for m = 1:length(switches)
+                
+                if (i == 1 && m == 1) % All - gamma
+                    hyperparams.gamma = [];
+                    save(filepaths(1), 'flux', 'grate');
+                elseif (i == 1 && m == 2) % All + gamma
+                    hyperparams.gamma = compute_gamma(mdl, dm_reactions(j), histone_entrez, DE{k}.upreg, DE{k}.downreg);
+                    save(filepaths(2), 'flux', 'grate');
+                    
+                elseif (i == 2 && m == 1) % Writers - gamma
+                    hyperparams.gamma = [];
+                    save(filepaths(3), 'flux', 'grate');
+                    
+                elseif (i == 2 && m == 2) % Writers + gamma
+                    hyperparams.gamma = compute_gamma(mdl, dm_reactions(j), histone_entrez, DE{k}.upreg, DE{k}.downreg);
+                    save(filepaths(4), 'flux', 'grate');
+                end
+                
+                try
+                    hyperparams.hscore = false;
+                    % Compute flux using iMAT 
+                    [mdl, soln] = CFR(mediumModel, hyperparams, ...
+                                      DE{k}.upreg, DE{k}.downreg);
+                                                   
+                    % Get the growth rate
+                    grates(k, 1) = soln.x(3743);
+                    
+                    % Ensure there's growth
+                    tmp2 = mediumModel;
+                    tmp2.lb(3743) = soln.x(3743) * 0.99;
+                    tmp2.c(3743)  = 0;                                                
+                    
+                    if m == 2
+                        hyperparams.hscore = true;
+                    end
+                    
+                    % Compute metabolic flux when optimizing histone markers
+                    [~, soln] = CFR(tmp2, hyperparams, DE{k}.upreg, DE{k}.downreg);
+            
+                    % Store data here
+                    fluxes(:, k) = soln.x(1:length(eGEM.rxns));
+                catch ME
+                    grates(k, 1) = NaN;
+                    fluxes(:, k) = NaN(length(eGEM.rxns), 1);
+                end
+            end
         end
-    end
-    flux{i, 1} = fluxes;
-    grate{i, 1} = grates;
-    save(fileName, 'flux', 'grate', 'j', 'i', '-append'); 
-end
+        flux{j, 1} = fluxes;
+        grate{j, 1} = grates;
+        save(fileName, 'flux', 'grate', 'j', 'i', '-append');
+    end 
+end
\ No newline at end of file

From 983564fd1fb1534c15fa9a59eb5a00c75e2f8f1e Mon Sep 17 00:00:00 2001
From: ScottCampit <scampit@umich.edu>
Date: Wed, 7 Oct 2020 19:41:50 -0400
Subject: [PATCH 11/18] Added server-side scripts

---
 src/matlab/CBM/CancerCellLineModels.mlx | Bin 11465 -> 12467 bytes
 srv/matlab/CBM/CancerCellLineModels.m   | 302 ++++++++++++++++-----
 srv/matlab/CBM/CancerCellLineModels.m~  | 343 ------------------------
 3 files changed, 235 insertions(+), 410 deletions(-)
 delete mode 100644 srv/matlab/CBM/CancerCellLineModels.m~

diff --git a/src/matlab/CBM/CancerCellLineModels.mlx b/src/matlab/CBM/CancerCellLineModels.mlx
index 22332cd1d42e8ccf7cb4ffabbe6c136e4663347c..e9c097e004c101a5c992aa8965205c12479b2f30 100644
GIT binary patch
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diff --git a/srv/matlab/CBM/CancerCellLineModels.m b/srv/matlab/CBM/CancerCellLineModels.m
index a40602a..fbf67e1 100644
--- a/srv/matlab/CBM/CancerCellLineModels.m
+++ b/srv/matlab/CBM/CancerCellLineModels.m
@@ -29,9 +29,9 @@
 % # |07132020.mat:| contains all reactions from the metabolic model
 % # |09072020_write_only.mat|: contains only histone writer reactions
 
-load ~/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
+load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; 
 eGEM_all = eGEM;
-load ~/Data/Reconstructions/eGEM/09072020_write_only.mat
+load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
 eGEM_write = eGEM;
 models = {eGEM_all, eGEM_write};
 %% 3. Add constraints to metabolic models
@@ -118,8 +118,8 @@
 % The data was normalized to TPM. There are 864 cancer cell lines by 1020 metabolic 
 % genes that map onto RECON1 using Entrez identifiers.
 
-load ~/Data/RNASeq/CCLE/CCLE_RNASeq.mat
-load ~/Data/Proteomics/CCLE/CCLE_Proteomics.mat
+load /nfs/turbo/umms-csriram/scampit/Data/RNASeq/CCLE/CCLE_RNASeq.mat
+load /nfs/turbo/umms-csriram/scampit/Data/Proteomics/CCLE/CCLE_Proteomics.mat
 % Get cell line intersections between the RNASeq dataset and the Global Chromatin Profiles
 
 [~, ia, ib] = intersect(cell_lines, string(cell_names));
@@ -139,9 +139,8 @@
 % and erasers.
 
 % Load up curated histone reaction map
-histoneReactionFile = '~/Data/Reconstructions/eGEM/Epigenome-Scale Metabolic Reconstruction Map.xlsx';
-histoneReactionMap = readcell(histoneReactionFile, 'Sheet', 'Genes');
-histoneReactionMap(ismissing(string(histoneReactionMap(:, 8))), :) = [];
+histoneReactionFile = '/nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/Epigenome-Scale Metabolic Reconstruction Map.xlsx';
+histoneReactionMap = xlsread(histoneReactionFile, 'Genes');
 
 % Edit Entrez 
 histone_entrez = cell2mat(histoneReactionMap(2:end, 8));
@@ -171,29 +170,197 @@
 end
 %% 
 % Since tmp1 and tmp2 are not empty, we are getting some histone markers.
-%% 9. Compute CCLE metabolic fluxes from the eGEMM
+%% 9. Compute CCLE metabolic fluxes without the gamma score
 % The sequence of steps for this code block is:
 %% 
 % # Iterate through reconstruction with all reactions and writers only
 % # 
 
+% Run without gamma score
 filepaths = [ ...
-    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_all.mat", ...
-    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_all_gamma.mat", ...
-    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_writers.mat", ...
-    "~/Data/CBM/eGEM/_Fluxes/CCLE_fluxes_writers_gamma.mat", ...
+    "/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all.mat", ...
+    "/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers.mat", ...
 ];
 
-switches = ["No gamma", "Gamma"];
+medium_file = '/nfs/turbo/umms-csriram/scampit/Data/Medium/FINAL_MEDIUM_MAP.xlsx';
+
+% Create containers to store data
+all_flux    = cell(length(dm_reactions), 1);
+all_grate   = cell(length(dm_reactions), 1);
+write_flux  = cell(length(dm_reactions), 1);
+write_grate = cell(length(dm_reactions), 1);
+save(filepaths(1), 'all_flux', 'all_grate');
+save(filepaths(2), 'write_flux', 'write_grate');
+entrez_ids = string(entrez_ids);
 
 % Switch between reconstruction with all reactions and writers only
 for i = 1:length(models)
+    
     mdl = models{i};
     mdl.genes = mdl.geneEntrezID;
-    entrez_ids = string(entrez_ids);
     
-    flux = cell(length(dm_reactions), 1);
-    grate = cell(length(dm_reactions), 1);
+    % Run through all histone reactions
+    for j = 1:length(dm_reactions)
+        [~, rxnPos] = ismember(dm_reactions(j), mdl.rxns);
+        tmp = mdl;
+        tmp.c(rxnPos) = epsilon(j);
+        
+        DE = cell(size(log2fc, 2));
+        grates = zeros([size(log2fc, 2), 1]);
+        fluxes = zeros([length(mdl.rxns), size(log2fc, 2)]);
+        
+        % Run through all cancer cell lines
+        parfor k = 1:size(log2fc, 2)
+    
+            % Get differentially expressed genes for each cancer cell line.
+            DE{k}.name    = cell_names(k);
+            DE{k}.medium  = medium(k);
+            DE{k}.culture = cultures(k);
+            DE{k}.tissue  = tissues(k);
+            DE{k}.upreg   = entrez_ids(log2fc(:, k) > 0 & pvalue(:, k) <= 0.05);
+            DE{k}.downreg = entrez_ids(log2fc(:, k) < 0 & pvalue(:, k) <= 0.05);
+            
+            % Constrain the metabolic model to be medium-specific
+            mediumModel = addMediumConstraints(tmp, medium(k), medium_file);
+            
+            % Perform linear optimization
+            try
+                % Compute flux using iMAT 
+                [~, soln] = CFR(mediumModel, hyperparams, ...
+                                  DE{k}.upreg, DE{k}.downreg);
+                                               
+                % Get the growth rate
+                grates(k, 1) = soln.x(3743);
+                
+                % Ensure there's growth
+                tmp2 = mediumModel;
+                tmp2.lb(3743) = soln.x(3743) * 0.99;
+                tmp2.c(3743)  = 0;
+                
+                % Compute metabolic flux when optimizing histone markers
+                [ ~, soln] = CFR(tmp2, hyperparams, DE{k}.upreg, DE{k}.downreg);
+        
+                % Store data here
+                fluxes(:, k) = soln.x(1:length(mdl.rxns));
+            catch ME
+                grates(k, 1) = NaN;
+                fluxes(:, k) = NaN(length(mdl.rxns), 1);
+            end
+        end
+        
+        % Save depending on the model type
+        if i == 1
+            all_flux{j, 1} = fluxes;
+            all_grate{j, 1} = grates;
+            save(filepaths(1), 'all_flux', 'all_grate', 'i', 'j', 'k', '-append');
+        else
+            write_flux{j, 1} = fluxes;
+            write_grate{j, 1} = grates;
+            save(filepaths(2), 'write_flux', 'write_grate', 'i', 'j', 'k', '-append');
+        end
+    end
+end      
+%% 10. SANITY CHECK 3: Ensure Gamma has an effect on metabolic flux
+% The short answer - it does.
+
+% % Switch between reconstruction with all reactions and writers only
+% tmp1 = models{1};
+% tmp1.genes = tmp1.geneEntrezID;
+% 
+% entrez_ids = string(entrez_ids);
+% tmp_dm_rxn = dm_reactions(1);
+% 
+% [~, rxnPos] = ismember(tmp_dm_rxn, tmp1.rxns);
+% tmp1.c(rxnPos) = epsilon(1);
+% 
+% k = 1;
+% % Get differentially expressed genes for each cancer cell line.
+% DE{k}.name    = cell_names(k);
+% DE{k}.medium  = medium(k);
+% DE{k}.culture = cultures(k);
+% DE{k}.tissue  = tissues(k);
+% DE{k}.upreg   = entrez_ids(log2fc(:, k) > 0 & pvalue(:, k) <= 0.05);
+% DE{k}.downreg = entrez_ids(log2fc(:, k) < 0 & pvalue(:, k) <= 0.05);
+%             
+% % Constrain the metabolic model to be medium-specific
+% mediumModel = addMediumConstraints(tmp1, medium(k));
+% m = 1;
+% hyperparams.gamma = [];
+% 
+% hyperparams.hscore = false;
+% % Compute flux using iMAT 
+% [~, soln1] = CFR(mediumModel, hyperparams, ...
+%                   DE{k}.upreg, DE{k}.downreg);
+%                                
+% % Get the growth rate
+% grates1(k, 1) = soln1.x(3743);
+% 
+% % Ensure there's growth
+% tmp2 = mediumModel;
+% tmp2.lb(3743) = soln1.x(3743) * 0.99;
+% tmp2.c(3743)  = 0;                                                
+% 
+% % Compute metabolic flux when optimizing histone markers
+% [ ~, soln1] = CFR(tmp2, hyperparams, DE{k}.upreg, DE{k}.downreg);
+% 
+% % Store data here
+% fluxes1 = soln1.x(1:length(tmp1.rxns));
+% 
+% m = 2;
+% tmp1 = models{1};
+% tmp1.genes = tmp1.geneEntrezID;
+% 
+% entrez_ids = string(entrez_ids);
+% tmp_dm_rxn = dm_reactions(1);
+% 
+% [~, rxnPos] = ismember(tmp_dm_rxn, tmp1.rxns);
+% tmp1.c(rxnPos) = epsilon(1);
+% hyperparams.gamma = compute_gamma(tmp1, dm_reactions(1), histone_entrez, string(DE{k}.upreg), string(DE{k}.downreg));
+% 
+% hyperparams.hscore = false;
+% % Compute flux using iMAT 
+% [~, soln2] = CFR(mediumModel, hyperparams, ...
+%                   DE{k}.upreg, DE{k}.downreg);
+%                                
+% % Get the growth rate
+% grates2(k, 1) = soln2.x(3743);
+% 
+% % Ensure there's growth
+% tmp2 = mediumModel;
+% tmp2.lb(3743) = soln.x(3743) * 0.99;
+% tmp2.c(3743)  = 0;                                                
+% 
+% hyperparams.hscore = true;
+% 
+% % Compute metabolic flux when optimizing histone markers
+% [ ~, soln2] = CFR(tmp2, hyperparams, DE{k}.upreg, DE{k}.downreg);
+% 
+% % Store data here
+% fluxes2 = soln2.x(1:length(tmp1.rxns));
+% 
+% sum(fluxes1 - fluxes2, 'all');
+%% 11. Compute CCLE metabolic fluxes with the gamma score
+
+filepaths = [ ...
+    "/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all_gamma.mat", ...
+    "/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers_gamma.mat", ...
+];
+
+all_gamma_flux = cell(length(dm_reactions), 1);
+all_gamma_grate = cell(length(dm_reactions), 1);
+write_gamma_flux = cell(length(dm_reactions), 1);
+write_gamma_grate = cell(length(dm_reactions), 1);
+
+save(filepaths(1), 'all_gamma_flux', 'all_gamma_grate');
+save(filepaths(2), 'write_gamma_flux', 'write_gamma_grate');
+
+entrez_ids = string(entrez_ids);
+
+% Switch between reconstruction with all reactions and writers only
+for i = 1:length(models)
+    
+    mdl = models{i};
+    mdl.genes = mdl.geneEntrezID;
     
     % Run through all histone reactions
     for j = 1:length(dm_reactions)
@@ -201,8 +368,20 @@
         tmp = mdl;
         tmp.c(rxnPos) = epsilon(j);
         
+        DE = cell(size(log2fc, 2));
+        grates = zeros([size(log2fc, 2), 1]);
+        fluxes = zeros([length(mdl.rxns), size(log2fc, 2)]);
+        
         % Run through all cancer cell lines
-        for k = 1:size(log2fc, 2)
+        parfor k = 1:size(log2fc, 2)
+            
+            % Set up hyperparameters for the linear programming section
+            hyperparams = struct();
+            hyperparams.eps = [];  hyperparams.isgenes = true;
+            hyperparams.kap = [];  hyperparams.eps2 = [];
+            hyperparams.rho = [];  hyperparams.pfba = false;
+            hyperparams.kap2 = []; hyperparams.gamma =[];
+            hyperparams.hscore = false;
     
             % Get differentially expressed genes for each cancer cell line.
             DE{k}.name    = cell_names(k);
@@ -213,58 +392,47 @@
             DE{k}.downreg = entrez_ids(log2fc(:, k) < 0 & pvalue(:, k) <= 0.05);
             
             % Constrain the metabolic model to be medium-specific
-            mediumModel = addMediumConstraints(tmp, medium(k));
+            mediumModel = addMediumConstraints(tmp, medium(k), medium_file);
     
-            % Switch between computing gamma (m == 2) and no gamma (m == 1)
-            for m = 1:length(switches)
+            hyperparams.gamma = compute_gamma(mdl, dm_reactions(j), histone_entrez, string(DE{k}.upreg), string(DE{k}.downreg));
+            try
+                hyperparams.hscore = false;
+                % Compute flux using iMAT 
+                [~, soln] = CFR(mediumModel, hyperparams, ...
+                                  DE{k}.upreg, DE{k}.downreg);
+                                               
+                % Get the growth rate
+                grates(k, 1) = soln.x(3743);
                 
-                if (i == 1 && m == 1) % All - gamma
-                    hyperparams.gamma = [];
-                    save(filepaths(1), 'flux', 'grate');
-                elseif (i == 1 && m == 2) % All + gamma
-                    hyperparams.gamma = compute_gamma(mdl, dm_reactions(j), histone_entrez, DE{k}.upreg, DE{k}.downreg);
-                    save(filepaths(2), 'flux', 'grate');
-                    
-                elseif (i == 2 && m == 1) % Writers - gamma
-                    hyperparams.gamma = [];
-                    save(filepaths(3), 'flux', 'grate');
-                    
-                elseif (i == 2 && m == 2) % Writers + gamma
-                    hyperparams.gamma = compute_gamma(mdl, dm_reactions(j), histone_entrez, DE{k}.upreg, DE{k}.downreg);
-                    save(filepaths(4), 'flux', 'grate');
-                end
+                % Ensure there's growth
+                tmp2 = mediumModel;
+                tmp2.lb(3743) = soln.x(3743) * 0.99;
+                tmp2.c(3743)  = 0;                                                
                 
-                try
-                    hyperparams.hscore = false;
-                    % Compute flux using iMAT 
-                    [mdl, soln] = CFR(mediumModel, hyperparams, ...
-                                      DE{k}.upreg, DE{k}.downreg);
-                                                   
-                    % Get the growth rate
-                    grates(k, 1) = soln.x(3743);
-                    
-                    % Ensure there's growth
-                    tmp2 = mediumModel;
-                    tmp2.lb(3743) = soln.x(3743) * 0.99;
-                    tmp2.c(3743)  = 0;                                                
-                    
-                    if m == 2
-                        hyperparams.hscore = true;
-                    end
-                    
-                    % Compute metabolic flux when optimizing histone markers
-                    [~, soln] = CFR(tmp2, hyperparams, DE{k}.upreg, DE{k}.downreg);
-            
-                    % Store data here
-                    fluxes(:, k) = soln.x(1:length(eGEM.rxns));
-                catch ME
-                    grates(k, 1) = NaN;
-                    fluxes(:, k) = NaN(length(eGEM.rxns), 1);
-                end
+                hyperparams.hscore = true;
+                
+                % Compute metabolic flux when optimizing histone markers
+                [ ~, soln] = CFR(tmp2, hyperparams, DE{k}.upreg, DE{k}.downreg);
+        
+                % Store data here
+                fluxes(:, k) = soln.x(1:length(mdl.rxns));
+            catch ME
+                grates(k, 1) = NaN;
+                fluxes(:, k) = NaN(length(mdl.rxns), 1);
             end
         end
-        flux{j, 1} = fluxes;
-        grate{j, 1} = grates;
-        save(fileName, 'flux', 'grate', 'j', 'i', '-append');
-    end 
-end
\ No newline at end of file
+        
+        % Save depending on the model type
+        if i == 1
+            all_gamma_flux{j, 1} = fluxes;
+            all_gamma_grate{j, 1} = grates;
+            save(filepaths(1), 'all_gamma_flux', 'all_gamma_grate', 'i', 'j', 'k', '-append');
+        else
+            write_gamma_flux{j, 1} = fluxes;
+            write_gamma_grate{j, 1} = grates;
+            save(filepaths(2), 'write_gamma_flux', 'write_gamma_grate', 'i', 'j', 'k', '-append');
+        end
+    end
+end      
+%% 
+%
\ No newline at end of file
diff --git a/srv/matlab/CBM/CancerCellLineModels.m~ b/srv/matlab/CBM/CancerCellLineModels.m~
deleted file mode 100644
index b8e6a7f..0000000
--- a/srv/matlab/CBM/CancerCellLineModels.m~
+++ /dev/null
@@ -1,343 +0,0 @@
-%% Compute Cancer Cell Line COBRA models
-% *Author:* Scott Campit
-%% Summary
-% This module computes metabolic fluxes for several histone post-translational 
-% modification related demand reaction from a constrained eGEMM model using the 
-% <https://www.ebi.ac.uk/gxa/experiments/E-MTAB-2770/Results CCLE RNASeq> data 
-% from <https://www.nature.com/articles/nature11003 Barretina et al., 2012>. 
-%% 1. Initialize COBRA
-% Below are several preprocessig steps, including:
-%% 
-% * Setting biomass objective function
-% * Lowering methionine substrate uptake rate 
-% * Setting up params for iMAT (default settings used with pFBA)
-% * Assigning the activity through demand reactions to be 0.0625. based on a 
-% previous analysis with nutrient supplementation and deprivation.
-
-% Initialize metabolic modeling components
-clear all;
-initCobraToolbox; changeCobraSolver('gurobi', 'all');
-%% 2. Load metabolic models
-% This code block loads specific versions of the eGEMM. There are currently 
-% two versions of the eGEMM:
-%% 
-% # |07132020.mat:| contains all reactions from the metabolic model
-% # |09072020_write_only.mat|: contains only histone writer reactions
-
-load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/07132020.mat; % Contains all reactions, including demethylation and deacetylation reactions
-%load /nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/09072020_write_only.mat
-%% 
-% Set the objective function to maximize biomass
-
-% Set up objective function
-eGEM.c = zeros(size(eGEM.c));
-eGEM.c(string(eGEM.rxns) == 'biomass_objective') = 1;
-%% 
-% Set the lower bound for methionine uptake
-
-% Set methionine lower bound to a really small number
-[~, pos] = ismember({'EX_met_L_e'}, eGEM.rxns);
-eGEM.lb(pos) = -1;
-%% 
-% Let's turn off some specific reactions that cause trouble with metabolic models.
-
-% Turn off specific reactions
-posToTurnOff           = find(ismember(eGEM.rxns, {'ALR', 'MGSA', 'MGSA2'}));
-eGEM.ub(posToTurnOff) = 0; eGEM.lb(posToTurnOff) = 0;
-%% 
-% Assign values of parameters for the iMAT algorithm.
-
-% Set up hyperparameters for the linear programming section
-hyperparams.eps = []; hyperparams.isgenes = true;
-hyperparams.kap = []; hyperparams.eps2 = [];
-hyperparams.rho = []; hyperparams.pfba = false;
-hyperparams.kap2 = [];
-%% 
-% Set the activity coefficient for demand reactions to be a fixed value, based 
-% on the medium perturbation experiments I ran with this current iteration of 
-% the eGEMM.
-
-% Get list of demand reactions from eGEMM
-%pos = [3773:3777]; % Bulk reactions only
-pos = [3773:3777, 3780:3799];
-dm_reactions = string(eGEM.rxns(pos))';
-% Activity coefficient for demand reactions
-epsilon_methylation = 0.069;
-epsilon_acetylation = 0.069;
-for i = 1:length(dm_reactions)
-    if contains(lower(dm_reactions(i)), "ac")
-        epsilon(i, 1) = epsilon_acetylation;
-    else
-        epsilon(i, 1) = epsilon_methylation;
-    end
-end
-%% 3. Compute base metabolic model fluxes and growth rates for comparison
-% Compute the solution for an unconstrained metabolic model. This will be the 
-% control model.
-
-% for i = 1:length(dm_reactions)
-%     [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
-%     
-%     % Add activity to demand reactions
-%     tmp = eGEM;
-%     tmp.c(rxnPos) = epsilon(i);
-%     
-%     [~, soln] = CFR(tmp, hyperparams, {}, {});
-%     
-%     grate(1, i) = soln.x(3743);
-% 
-%     tmp2 = tmp;
-%     tmp2.lb(3743) = soln.x(3743) * 0.99;
-%     tmp2.c(3743)  = 0;                                                
-%     
-%     [~, soln] = CFR(tmp, hyperparams, {}, {});
-%     flux(1, i)  = soln.x(rxnPos);
-% end
-%% 4. Preprocess Cancer Cell Line Encyclopedia data
-% Load data from the Cancer Cell Line Encyclopedia
-% This module uses RNASeq data from the CCLE and performs some basic preprocessing. 
-% The data was normalized to TPM. There are 864 cancer cell lines by 1020 metabolic 
-% genes that map onto RECON1 using Entrez identifiers.
-
-load /nfs/turbo/umms-csriram/scampit/Data/RNASeq/CCLE/CCLE_RNASeq.mat
-load /nfs/turbo/umms-csriram/scampit/Data/Proteomics/CCLE/CCLE_Proteomics.mat
-% Get cell line intersections between the RNASeq dataset and the Global Chromatin Profiles
-
-[~, ia, ib] = intersect(cell_lines, string(cell_names));
-cell_lines = cell_lines(ia);
-cell_names = cell_names(ib);
-
-log2fc = log2fc(:, ia);
-pvalue = pvalue(:, ia);
-
-proteomics = proteomics(ib, :);
-medium = medium(ib);
-cultures = cultures(ib);
-tissues = tissues(ib);
-%% 5. Compute CCLE metabolic fluxes from the eGEMM
-
-%fileName = '~/Data/CBM/eGEM/CCLE_fluxes_all.mat';
-%fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers.mat';
-fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all.mat';
-
-%save(fileName, '-v7.3')
-% Ensure that histone readers and writers are being used in the metabolic model
-% First, let's get gene identifiers that are associated with histone writers 
-% and erasers.
-
-% Load up curated histone reaction map
-histoneReactionFile = '/nfs/turbo/umms-csriram/scampit/Data/Reconstructions/eGEM/Epigenome-Scale Metabolic Reconstruction Map.xlsx';
-histoneReactionMap = xlsread(histoneReactionFile, 'Genes');
-
-% Edit Entrez 
-histone_entrez = histoneReactionMap(:, 1);
-histone_bigg = string(histone_entrez + .1);
-histone_entrez = string(histone_entrez);
-% SANITY CHECK: Intersecting Entrez IDs between metabolic model and dataset
-% This code block just checks and sees if there are any intersecting genes with 
-% the metabolic model and the RNASeq data.
-
-% tmp1 = [];
-% tmp2 = [];
-% for j = 1:size(log2fc, 2)
-%         
-%     % Get differentially expressed genes for each cancer cell line.
-%     DE{j}.name    = cell_names(j);
-%     DE{j}.medium  = medium(j);
-%     DE{j}.culture = cultures(j);
-%     DE{j}.tissue  = tissues(j);
-%     DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
-%     DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
-%     
-%     gene_list = [DE{j}.upreg; DE{j}.downreg];
-%     [~, ia, ib] = intersect(string(gene_list), string(histone_entrez));
-%     
-%     tmp1 = [tmp1; ia];
-%     tmp2 = [tmp2; ib];
-%     
-% end
-% Compute metabolic flux profiles
-% Now let's compute the data using the model. The data will automatically be 
-% saved.
-
-% Demand reactions
-flux = cell(length(dm_reactions), 1);
-grate = cell(length(dm_reactions), 1);
-save(fileName, 'flux', 'grate');
-
-medium_file = '/nfs/turbo/umms-csriram/scampit/Data/Medium/FINAL_MEDIUM_MAP.xlsx';
-
-eGEM.genes = eGEM.geneEntrezID;
-entrez_ids = string(entrez_ids);
-
-hyperparams.hscore = false;
-hyperparams.gamma = [];
-
-for i = 1:length(dm_reactions)
-    [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
-    tmp = eGEM;
-    tmp.c(rxnPos) = epsilon(i);
-    
-    % Cell lines
-    for j = 1:size(log2fc, 2)
-        
-        % Get differentially expressed genes for each cancer cell line.
-        DE{j}.name    = cell_names(j);
-        DE{j}.medium  = medium(j);
-        DE{j}.culture = cultures(j);
-        DE{j}.tissue  = tissues(j);
-        DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
-        DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
-        
-        % Constrain the metabolic model to be medium-specific
-        mediumModel = addMediumConstraints(tmp, medium(j), medium_file);
-        
-        try
-            % Compute flux using iMAT 
-            [mdl, soln] = CFR(mediumModel, hyperparams, ...
-                              DE{j}.upreg, DE{j}.downreg);
-                                           
-            % Get the growth rate
-            grates(j, 1) = soln.x(3743);
-            
-            % Ensure there's growth
-            tmp2 = mediumModel;
-            tmp2.lb(3743) = soln.x(3743) * 0.99;
-            tmp2.c(3743)  = 0;                                                
-            
-            % Compute metabolic flux when optimizing histone markers
-            [~, soln] = CFR(tmp2, hyperparams, DE{j}.upreg, DE{j}.downreg);
-    
-            % Store data here
-            fluxes(:, j) = soln.x(1:length(eGEM.rxns));
-        catch ME
-            grates(j, 1) = NaN;
-            fluxes(:, j) = NaN(length(eGEM.rxns), 1);
-        end
-        
-    end
-    flux{i, 1} = fluxes;
-    grate{i, 1} = grates;
-    save(fileName, 'flux', 'grate', 'j', 'i', '-append');
-    
-end
-%% 6. Writers / Erasers Ratio Parameter
-% For this scheme, I need to do the following steps: 
-%% 
-% # Separate the RNASeq data out by whether or not the differentially expressed 
-% genes are writers or erasers and ensure the algorithm is distinguishing between 
-% methylation and acetylation
-% # Create a scaling factor for the upper bound of the demand reaction. The 
-% scaling factor $\gamma$ I settled for is the following:$\;\gamma =\frac{\frac{\textrm{counts}\left(Z_{\textrm{up},\textrm{writer}} 
-% \right)}{\textrm{counts}\left(Z_{\textrm{up},\textrm{eraser}} \right)}}{\frac{\textrm{counts}\left(Z_{\textrm{down},\textrm{writer}} 
-% \right)}{\textrm{counts}\left(Z_{\textrm{down},\textrm{eraser}} \right)}}$
-% # For the $i^{\textrm{th}}$demand reaction, constrain its upper bound using 
-% $\gamma$: |model.ub(i) = gamma*model.ub(i)|
-% *Case examples*
-% *Case 1: All writers are up*
-% 
-% $$\gamma =\frac{\frac{10}{1}}{\frac{1}{1}}=10$$
-% 
-% *Case 2: All erasers are up* 
-% 
-% $$\gamma =\frac{\frac{1}{10}}{\frac{1}{1}}=0\ldotp 1$$
-% 
-% *Case 3: Writers are up and erasers are down*
-% 
-% $$\gamma =\frac{\frac{10}{1}}{\frac{1}{10}}=100$$
-% 
-% *Case 4: Erasers are up and writers are down* 
-% 
-% $$\gamma =\frac{\frac{1}{10}}{\frac{10}{1}}=0\ldotp 01$$
-% Compute metabolic flux profiles
-% Now let's compute the data using the model. The data will automatically be 
-% saved.
-
-% Demand reactions
-flux = cell(length(dm_reactions), 1);
-grate = cell(length(dm_reactions), 1);
-
-%fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_writers_gamma.mat';
-fileName = '/nfs/turbo/umms-csriram/scampit/Data/CBM/eGEM/CCLE_fluxes_all_gamma.mat';
-save(fileName, 'flux', 'grate');
-
-eGEM.genes = eGEM.geneEntrezID;
-entrez_ids = string(entrez_ids);
-medium_file = '/nfs/turbo/umms-csriram/scampit/Data/Medium/FINAL_MEDIUM_MAP.xlsx';
-
-for i = 1:length(dm_reactions)
-    
-    % Set the objective coefficient for the model to be 0.069.
-    [~, rxnPos] = ismember(dm_reactions(i), eGEM.rxns);
-    tmp = eGEM;
-    tmp.c(rxnPos) = epsilon(i);
-    
-    for j = 1:size(log2fc, 2)
-        
-        % Get differentially expressed genes for each cancer cell line.
-        DE{j}.name    = cell_names(j);
-        DE{j}.medium  = medium(j);
-        DE{j}.culture = cultures(j);
-        DE{j}.tissue  = tissues(j);
-        DE{j}.upreg   = entrez_ids(log2fc(:, j) > 0 & pvalue(:, j) <= 0.05);
-        DE{j}.downreg = entrez_ids(log2fc(:, j) < 0 & pvalue(:, j) <= 0.05);
-        
-        gamma = 0;
-                
-        % Compute a score that reflects the proportion of up and
-        % downregulated writers / erasers
-        if contains(lower(dm_reactions(i)), "ac")
-            writers = histone_entrez(53:61);
-            erasers = histone_entrez(62:80);
-        elseif contains(lower(dm_reactions(i)), "me")
-            writers = histone_entrez(21:52);
-            erasers = histone_entrez(1:20);
-        end
-        
-        % Compute upregulated section / numerator
-        z_up_write = sum(ismember(string(DE{j}.upreg), string(writers)), 'all') + 0.1;
-        z_up_erase = sum(ismember(string(DE{j}.upreg), string(erasers)), 'all') + 0.1;
-        
-        % Compute downregulated section / denominator
-        z_down_write = sum(ismember(string(DE{j}.downreg), string(writers))) + 0.1;
-        z_down_erase = sum(ismember(string(DE{j}.downreg), string(erasers)), 'all') + 0.1;
-        
-        % Compute gamma using numerator / denominator
-        numerator = (z_up_write / z_up_erase);
-        denominator = (z_down_write / z_down_erase);
-        gamma = log(numerator / denominator);
-        hyperparams.gamma = gamma;
-        
-        % Constrain the metabolic model to be medium-specific
-        mediumModel = addMediumConstraints(tmp, medium(j), medium_file);
-        
-        try
-            % Compute flux using iMAT 
-            hyperparams.hscore = false;
-            [mdl, soln] = CFR(mediumModel, hyperparams, ...
-                              DE{j}.upreg, DE{j}.downreg);
-                                           
-            % Get the growth rate
-            grates(j, 1) = soln.x(3743);
-            
-            % Ensure there's growth
-            tmp2 = mediumModel;
-            tmp2.lb(3743) = soln.x(3743) * 0.99;
-            tmp2.c(3743)  = 0;     
-            
-            hyperparams.hscore = true;
-            % Compute metabolic flux when optimizing histone markers
-            [~, soln] = CFR(tmp2, hyperparams, ...
-                            DE{j}.upreg, DE{j}.downreg);
-    
-            % Store data here
-            fluxes(:, j) = soln.x(1:length(eGEM.rxns));
-        catch ME
-            grates(j, 1) = NaN;
-            fluxes(:, j) = NaN(length(eGEM.rxns), 1);
-        end
-    end
-    flux{i, 1} = fluxes;
-    grate{i, 1} = grates;
-    save(fileName, 'flux', 'grate', 'j', 'i', '-append'); 
-end
\ No newline at end of file

From 9012112bfa5c3b1ef312ec23c06011a8ccece6f6 Mon Sep 17 00:00:00 2001
From: ScottCampit <scampit@umich.edu>
Date: Wed, 7 Oct 2020 19:47:50 -0400
Subject: [PATCH 12/18] Add parallel processing

---
 srv/matlab/CBM/CancerCellLineModels.m | 11 ++++++++---
 1 file changed, 8 insertions(+), 3 deletions(-)

diff --git a/srv/matlab/CBM/CancerCellLineModels.m b/srv/matlab/CBM/CancerCellLineModels.m
index fbf67e1..3f4984b 100644
--- a/srv/matlab/CBM/CancerCellLineModels.m
+++ b/srv/matlab/CBM/CancerCellLineModels.m
@@ -21,6 +21,12 @@
 
 % Initialize metabolic modeling components
 clear all;
+
+%  Initialize the Umich Cluster profiles
+setupUmichClusters
+NP = str2num(getenv('SLURM_NTASKS'));
+thePool = parpool('current', NP);
+
 initCobraToolbox; changeCobraSolver('gurobi', 'all');
 %% 2. Load metabolic models
 % This code block loads specific versions of the eGEMM. There are currently 
@@ -433,6 +439,5 @@
             save(filepaths(2), 'write_gamma_flux', 'write_gamma_grate', 'i', 'j', 'k', '-append');
         end
     end
-end      
-%% 
-%
\ No newline at end of file
+end
+delete(thePool)
\ No newline at end of file

From 33d1378d9c2f9b3f5860a615eee6ddd3523359a2 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Thu, 8 Oct 2020 00:49:20 -0400
Subject: [PATCH 13/18] modify function generate_corrtable to show only 1 and
 -1

---
 src/python/EDA/MET2GCP_CORR.ipynb | 409 +++++++++++++++++++++++++++++-
 1 file changed, 407 insertions(+), 2 deletions(-)

diff --git a/src/python/EDA/MET2GCP_CORR.ipynb b/src/python/EDA/MET2GCP_CORR.ipynb
index dab5d39..1fde710 100644
--- a/src/python/EDA/MET2GCP_CORR.ipynb
+++ b/src/python/EDA/MET2GCP_CORR.ipynb
@@ -2176,9 +2176,410 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 14,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>H3K4me0</th>\n",
+       "      <th>H3K4me1</th>\n",
+       "      <th>H3K4me2</th>\n",
+       "      <th>H3K4ac1</th>\n",
+       "      <th>H3K9me0K14ac0</th>\n",
+       "      <th>H3K9me1K14ac0</th>\n",
+       "      <th>H3K9me2K14ac0</th>\n",
+       "      <th>H3K9me3K14ac0</th>\n",
+       "      <th>H3K9ac1K14ac0</th>\n",
+       "      <th>H3K9me0K14ac1</th>\n",
+       "      <th>...</th>\n",
+       "      <th>H3K27ac1K36me0</th>\n",
+       "      <th>H3K27ac1K36me1</th>\n",
+       "      <th>H3K27ac1K36me2</th>\n",
+       "      <th>H3K27ac1K36me3</th>\n",
+       "      <th>H3.3K27me0K36me0</th>\n",
+       "      <th>H3K56me0</th>\n",
+       "      <th>H3K56me1</th>\n",
+       "      <th>H3K79me0</th>\n",
+       "      <th>H3K79me1</th>\n",
+       "      <th>H3K79me2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>2-aminoadipate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3-phosphoglycerate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Alpha-glycerophosphate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4-pyridoxate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Aconitate</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C56:3 TAG</th>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C56:2 TAG</th>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C58:8 TAG</th>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C58:7 TAG</th>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>C58:6 TAG</th>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>...</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>-1</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>225 rows × 42 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                       H3K4me0 H3K4me1 H3K4me2 H3K4ac1 H3K9me0K14ac0  \\\n",
+       "2-aminoadipate             NaN     NaN     NaN     NaN           NaN   \n",
+       "3-phosphoglycerate         NaN     NaN     NaN     NaN           NaN   \n",
+       "Alpha-glycerophosphate     NaN     NaN       1       1           NaN   \n",
+       "4-pyridoxate               NaN     NaN     NaN     NaN           NaN   \n",
+       "Aconitate                  NaN       1     NaN     NaN             1   \n",
+       "...                        ...     ...     ...     ...           ...   \n",
+       "C56:3 TAG                   -1      -1     NaN     NaN            -1   \n",
+       "C56:2 TAG                   -1      -1     NaN     NaN           NaN   \n",
+       "C58:8 TAG                   -1      -1     NaN     NaN           NaN   \n",
+       "C58:7 TAG                   -1      -1     NaN     NaN           NaN   \n",
+       "C58:6 TAG                   -1      -1     NaN     NaN           NaN   \n",
+       "\n",
+       "                       H3K9me1K14ac0 H3K9me2K14ac0 H3K9me3K14ac0  \\\n",
+       "2-aminoadipate                   NaN           NaN           NaN   \n",
+       "3-phosphoglycerate               NaN           NaN             1   \n",
+       "Alpha-glycerophosphate            -1           NaN           NaN   \n",
+       "4-pyridoxate                     NaN           NaN           NaN   \n",
+       "Aconitate                        NaN           NaN             1   \n",
+       "...                              ...           ...           ...   \n",
+       "C56:3 TAG                        NaN           NaN            -1   \n",
+       "C56:2 TAG                        NaN           NaN            -1   \n",
+       "C58:8 TAG                        NaN           NaN           NaN   \n",
+       "C58:7 TAG                        NaN           NaN           NaN   \n",
+       "C58:6 TAG                        NaN           NaN            -1   \n",
+       "\n",
+       "                       H3K9ac1K14ac0 H3K9me0K14ac1  ... H3K27ac1K36me0  \\\n",
+       "2-aminoadipate                     1           NaN  ...            NaN   \n",
+       "3-phosphoglycerate               NaN           NaN  ...              1   \n",
+       "Alpha-glycerophosphate           NaN             1  ...            NaN   \n",
+       "4-pyridoxate                     NaN           NaN  ...            NaN   \n",
+       "Aconitate                          1           NaN  ...            NaN   \n",
+       "...                              ...           ...  ...            ...   \n",
+       "C56:3 TAG                        NaN           NaN  ...            NaN   \n",
+       "C56:2 TAG                        NaN           NaN  ...            NaN   \n",
+       "C58:8 TAG                         -1           NaN  ...            NaN   \n",
+       "C58:7 TAG                         -1           NaN  ...            NaN   \n",
+       "C58:6 TAG                         -1           NaN  ...            NaN   \n",
+       "\n",
+       "                       H3K27ac1K36me1 H3K27ac1K36me2 H3K27ac1K36me3  \\\n",
+       "2-aminoadipate                    NaN            NaN            NaN   \n",
+       "3-phosphoglycerate                  1              1            NaN   \n",
+       "Alpha-glycerophosphate            NaN            NaN              1   \n",
+       "4-pyridoxate                      NaN            NaN            NaN   \n",
+       "Aconitate                         NaN            NaN            NaN   \n",
+       "...                               ...            ...            ...   \n",
+       "C56:3 TAG                         NaN            NaN            NaN   \n",
+       "C56:2 TAG                         NaN            NaN            NaN   \n",
+       "C58:8 TAG                         NaN             -1            NaN   \n",
+       "C58:7 TAG                         NaN             -1            NaN   \n",
+       "C58:6 TAG                         NaN             -1            NaN   \n",
+       "\n",
+       "                       H3.3K27me0K36me0 H3K56me0 H3K56me1 H3K79me0 H3K79me1  \\\n",
+       "2-aminoadipate                      NaN      NaN      NaN      NaN      NaN   \n",
+       "3-phosphoglycerate                  NaN      NaN      NaN      NaN      NaN   \n",
+       "Alpha-glycerophosphate               -1      NaN        1      NaN       -1   \n",
+       "4-pyridoxate                        NaN      NaN      NaN      NaN      NaN   \n",
+       "Aconitate                           NaN      NaN      NaN      NaN      NaN   \n",
+       "...                                 ...      ...      ...      ...      ...   \n",
+       "C56:3 TAG                           NaN      NaN      NaN      NaN      NaN   \n",
+       "C56:2 TAG                            -1      NaN      NaN      NaN      NaN   \n",
+       "C58:8 TAG                           NaN      NaN        1      NaN      NaN   \n",
+       "C58:7 TAG                           NaN      NaN        1      NaN      NaN   \n",
+       "C58:6 TAG                           NaN      NaN      NaN      NaN      NaN   \n",
+       "\n",
+       "                       H3K79me2  \n",
+       "2-aminoadipate              NaN  \n",
+       "3-phosphoglycerate          NaN  \n",
+       "Alpha-glycerophosphate       -1  \n",
+       "4-pyridoxate                NaN  \n",
+       "Aconitate                   NaN  \n",
+       "...                         ...  \n",
+       "C56:3 TAG                   NaN  \n",
+       "C56:2 TAG                   NaN  \n",
+       "C58:8 TAG                   NaN  \n",
+       "C58:7 TAG                   NaN  \n",
+       "C58:6 TAG                   NaN  \n",
+       "\n",
+       "[225 rows x 42 columns]"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "def generate_corrtable(df,mt,hm,corr):\n",
     "    \"\"\"\n",
@@ -2209,6 +2610,10 @@
     "        for c in (df_hm.columns):\n",
     "            if np.isnan(newpvalues[c][r]) == False:\n",
     "                new_corr[c][r] = corr[c][r]\n",
+    "                if (new_corr[c][r]) > 0:\n",
+    "                    new_corr[c][r] = 1\n",
+    "                elif (new_corr[c][r] < 0):\n",
+    "                    new_corr[c][r] = -1\n",
     "    new_corr.to_csv('new_corr.csv')\n",
     "    return new_corr\n",
     "    \n",

From 26502ec5a042a9187c9e06d08426a84da735728d Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Wed, 13 Jan 2021 18:52:57 -0500
Subject: [PATCH 14/18] linear regression

---
 src/python/EDA/.ipynb                         | 756 +++++++++++++++
 src/python/EDA/CCLE metabolomics dataset.xlsx | Bin 0 -> 2105137 bytes
 src/python/EDA/GCP_proteomics_remapped.csv    | 867 ++++++++++++++++++
 src/python/EDA/LASSO.ipynb                    | 175 ++++
 src/python/EDA/corr.csv                       | 226 +++++
 src/python/EDA/correlation.csv                | 268 ++++++
 src/python/EDA/linear regression.ipynb        | 756 +++++++++++++++
 src/python/EDA/new_corr.csv                   | 226 +++++
 src/python/EDA/pvalues<0.05.csv               | 226 +++++
 9 files changed, 3500 insertions(+)
 create mode 100644 src/python/EDA/.ipynb
 create mode 100644 src/python/EDA/CCLE metabolomics dataset.xlsx
 create mode 100644 src/python/EDA/GCP_proteomics_remapped.csv
 create mode 100644 src/python/EDA/LASSO.ipynb
 create mode 100644 src/python/EDA/corr.csv
 create mode 100644 src/python/EDA/correlation.csv
 create mode 100644 src/python/EDA/linear regression.ipynb
 create mode 100644 src/python/EDA/new_corr.csv
 create mode 100644 src/python/EDA/pvalues<0.05.csv

diff --git a/src/python/EDA/.ipynb b/src/python/EDA/.ipynb
new file mode 100644
index 0000000..4dc2540
--- /dev/null
+++ b/src/python/EDA/.ipynb
@@ -0,0 +1,756 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "from sklearn.model_selection import train_test_split\n",
+    "from sklearn.linear_model import LinearRegression\n",
+    "from scipy.stats import pearsonr\n",
+    "from sklearn.metrics import mean_squared_error\n",
+    "from sklearn.metrics import mean_absolute_error\n",
+    "from sklearn.model_selection import KFold\n",
+    " "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "   2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  4-pyridoxate  \\\n",
+      "0        6.112727            6.034198                5.896896      6.000532   \n",
+      "1        5.577413            5.727045                5.111468      6.073250   \n",
+      "2        5.886398            5.574881                5.541259      5.848375   \n",
+      "3        5.770030            6.099229                6.233259      5.543495   \n",
+      "4        5.480683            5.469742                6.509397      6.251005   \n",
+      "\n",
+      "   Aconitate   Adenine   Adipate  Alpha-ketoglutarate       AMP   Citrate  \\\n",
+      "0   5.513618  5.868529  5.977177             5.693074  5.923737  5.641242   \n",
+      "1   5.802494  5.824473  5.888821             5.768379  5.760784  5.914742   \n",
+      "2   5.665026  5.875548  5.894904             5.839640  5.742613  5.570208   \n",
+      "3   5.767759  6.155905  6.111148             5.949481  6.342703  6.054781   \n",
+      "4   5.190578  5.897085  6.148333             5.607481  5.871600  5.128463   \n",
+      "\n",
+      "   ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  C56:4 TAG  C56:3 TAG  \\\n",
+      "0  ...   6.070239   6.133433   6.091089   6.257711   6.372732   6.202511   \n",
+      "1  ...   6.248653   6.633575   6.378052   6.341043   6.360945   6.333540   \n",
+      "2  ...   5.942887   5.946988   5.837980   5.913350   6.137530   5.807546   \n",
+      "3  ...   6.516922   6.113791   6.282113   6.248667   6.109480   6.043570   \n",
+      "4  ...   6.161981   6.777932   6.676390   6.695659   6.751029   6.385056   \n",
+      "\n",
+      "   C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+      "0   5.939576   6.309821   6.115974   5.999436  \n",
+      "1   6.137271   7.065858   6.832174   6.363064  \n",
+      "2   5.704149   5.881193   5.785208   5.504225  \n",
+      "3   5.846802   6.429402   5.779815   6.241530  \n",
+      "4   6.682612   6.757899   6.728570   6.879260  \n",
+      "\n",
+      "[5 rows x 225 columns]\n",
+      "    H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  H3K9me1K14ac0  \\\n",
+      "0  0.116020 -0.153144 -0.348607 -1.417128      -1.281177      -0.719707   \n",
+      "1 -0.058624  0.219592  0.110946 -0.170282       0.334630       0.497303   \n",
+      "2  0.480909  0.298440  0.073777  0.413953      -0.479543       0.133280   \n",
+      "3 -0.079957 -0.617656 -0.566702  0.079932       0.373140       0.159682   \n",
+      "4 -0.059965 -0.063483 -0.267980  0.357422       0.075651       0.047830   \n",
+      "\n",
+      "   H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  H3K9me0K14ac1  ...  \\\n",
+      "0      -0.208080      -0.033416      -0.967821      -1.150058  ...   \n",
+      "1       0.307907      -0.466686       0.062518      -0.517698  ...   \n",
+      "2       0.053279      -0.220467      -0.427160       0.215504  ...   \n",
+      "3       0.060946      -0.181112       0.208328       0.182229  ...   \n",
+      "4       0.115243      -0.498239      -0.059567       0.845077  ...   \n",
+      "\n",
+      "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+      "0        0.396178        1.261963        0.492776       -0.211349   \n",
+      "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+      "2        0.055683       -0.659294        0.114288       -1.289012   \n",
+      "3        1.098303        0.381884        0.258282        0.751323   \n",
+      "4       -0.185237        0.239421        0.358072       -0.176527   \n",
+      "\n",
+      "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+      "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+      "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+      "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+      "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+      "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+      "\n",
+      "[5 rows x 42 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "MET = merge_tb.iloc[:,1:226]\n",
+    "GCP = merge_tb.iloc[:,227:269]\n",
+    "print(MET.head())\n",
+    "print(GCP.head())\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(259, 42)\n",
+      "(604, 225)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# GCP.to_numpy()\n",
+    "# MET.to_numpy()\n",
+    "GCP = np.nan_to_num(GCP, nan=0)\n",
+    "MET = np.nan_to_num(MET, nan=0)\n",
+    "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
+    "\n",
+    "# print(GCP.shape)\n",
+    "# print(Xtrain)\n",
+    "print(Xtest.shape)\n",
+    "# print(MET.shape)\n",
+    "print(Ytrain.shape)\n",
+    "# print(Ytest.shape)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression()]\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "GCP2MET_models = []\n",
+    "for i in range(Ytrain.shape[1]):\n",
+    "    mdl_G2M = LinearRegression().fit(Xtrain, Ytrain[:, i])\n",
+    "    GCP2MET_models.append(mdl_G2M)\n",
+    "\n",
+    "#     GCP2MET_models.append(mdl_G2M.coef_)\n",
+    "#     Ypred = mdl_G2M.coef_ * Xtest\n",
+    "print(GCP2MET_models)\n",
+    "# print(len(GCP2MET_models))\n",
+    "\n",
+    "MET2GCP_models = []\n",
+    "\n",
+    "for j in range(Xtrain.shape[1]):\n",
+    "    mdl_M2G = LinearRegression().fit(Ytrain, Xtrain[:,j])\n",
+    "    MET2GCP_models.append(mdl_M2G)\n",
+    "\n",
+    "#     MET2GCP_models.append(mdl_M2G.coef_)\n",
+    "#     print(MET2GCP_models)\n",
+    "# print(len(MET2GCP_models))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def evaluate_models(models, Xtest, Ytest):\n",
+    "    \"\"\"\n",
+    "    evaluate_models returns results from the model predictions, including the pearson\n",
+    "    correlation coefficient, p-Values, and MSE.\n",
+    "\n",
+    "    :param models:         A list of scikit-learn model objects.\n",
+    "    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.\n",
+    "    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.\n",
+    "    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.\n",
+    "    \n",
+    "    \"\"\"\n",
+    "    \n",
+    "    predictions = []\n",
+    "    rValue = list()\n",
+    "    pValue = list()\n",
+    "    MSE = list()\n",
+    "    for i in range(len(models)):\n",
+    "        mdl = models[i]\n",
+    "        Ypred = mdl.predict(Xtest)\n",
+    "        predictions.append(Ypred)\n",
+    "        \n",
+    "        r, pvalue = pearsonr(Ypred, Ytest[:, i])\n",
+    "        rValue.append(r)\n",
+    "        pValue.append(pvalue)\n",
+    "        \n",
+    "        mse = mean_squared_error(Ypred, Ytest[:, i])\n",
+    "        MSE.append(mse)\n",
+    "           \n",
+    "\n",
+    "    df_MSE = pd.DataFrame(MSE)\n",
+    "    df_pValue = pd.DataFrame(pValue)\n",
+    "    df_rValue = pd.DataFrame(rValue)\n",
+    "    \n",
+    "    return df_MSE, df_pValue, df_rValue\n",
+    "\n",
+    "mse1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            0\n",
+      "0    0.105660\n",
+      "1    0.113761\n",
+      "2    0.211453\n",
+      "3    0.124643\n",
+      "4    0.102915\n",
+      "..        ...\n",
+      "220  0.157474\n",
+      "221  0.174273\n",
+      "222  0.269746\n",
+      "223  0.353366\n",
+      "224  0.266817\n",
+      "\n",
+      "[225 rows x 1 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "print(mse1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "           0         1         2         3         4         5         6    \\\n",
+      "mse1  0.098891  0.094329  0.319502  0.113154  0.105149  0.133179  0.045786   \n",
+      "mse2  0.123628  0.103319  0.335725  0.139940  0.102402  0.140503  0.043725   \n",
+      "mse3  0.099345  0.103648  0.278150  0.128813  0.099365  0.136939  0.038375   \n",
+      "\n",
+      "           7         8         9    ...       215       216       217  \\\n",
+      "mse1  0.080428  0.250379  0.112139  ...  0.145670  0.202951  0.192299   \n",
+      "mse2  0.064761  0.253493  0.116281  ...  0.101652  0.203684  0.191712   \n",
+      "mse3  0.067909  0.191660  0.102278  ...  0.124050  0.197997  0.183160   \n",
+      "\n",
+      "           218       219       220       221       222       223       224  \n",
+      "mse1  0.224030  0.169372  0.142034  0.170940  0.298064  0.340335  0.290046  \n",
+      "mse2  0.250278  0.189576  0.166025  0.201022  0.316814  0.396047  0.300359  \n",
+      "mse3  0.250604  0.200674  0.176717  0.198773  0.277209  0.326478  0.239974  \n",
+      "\n",
+      "[3 rows x 225 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "kf = KFold(n_splits=3)\n",
+    "\n",
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse_result = pd.DataFrame()\n",
+    "pvalue_result = pd.DataFrame()\n",
+    "rvalue_result = pd.DataFrame()\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "#     print(\"TRAIN:\", train_index, \"TEST:\", test_index)\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_GCP2MET_models = []\n",
+    "    final_metrics = []\n",
+    "    for i in range(y_train.shape[1]):\n",
+    "        mdl_G2M = LinearRegression().fit(X_train, y_train[:, i])\n",
+    "        v_GCP2MET_models.append(mdl_G2M)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)\n",
+    "#     print(\"mse:_\")\n",
+    "#     print(df_MSE)\n",
+    "    mse_result = pd.concat([mse_result,df_MSE],axis = 1)\n",
+    "    pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "    rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "\n",
+    "    \n",
+    "mse_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse_result = mse_result.T\n",
+    "print(mse_result)\n",
+    "       \n",
+    "    \n",
+    "\n",
+    "# MET2GCP_models = []\n",
+    "\n",
+    "# for j in range(Xtrain.shape[1]):\n",
+    "#     mdl_M2G = LinearRegression().fit(Ytrain, Xtrain[:,j])\n",
+    "#     MET2GCP_models.append(mdl_M2G)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0      mse1\n",
+      "1      mse1\n",
+      "2      mse3\n",
+      "3      mse1\n",
+      "4      mse3\n",
+      "       ... \n",
+      "220    mse1\n",
+      "221    mse1\n",
+      "222    mse3\n",
+      "223    mse3\n",
+      "224    mse3\n",
+      "Length: 225, dtype: object\n",
+      "           0         1         2         3         4         5         6    \\\n",
+      "mse1  0.098891  0.094329  0.319502  0.113154  0.105149  0.133179  0.045786   \n",
+      "mse2  0.123628  0.103319  0.335725  0.139940  0.102402  0.140503  0.043725   \n",
+      "mse3  0.099345  0.103648  0.278150  0.128813  0.099365  0.136939  0.038375   \n",
+      "\n",
+      "           7         8         9    ...       215       216       217  \\\n",
+      "mse1  0.080428  0.250379  0.112139  ...  0.145670  0.202951  0.192299   \n",
+      "mse2  0.064761  0.253493  0.116281  ...  0.101652  0.203684  0.191712   \n",
+      "mse3  0.067909  0.191660  0.102278  ...  0.124050  0.197997  0.183160   \n",
+      "\n",
+      "           218       219       220       221       222       223       224  \n",
+      "mse1  0.224030  0.169372  0.142034  0.170940  0.298064  0.340335  0.290046  \n",
+      "mse2  0.250278  0.189576  0.166025  0.201022  0.316814  0.396047  0.300359  \n",
+      "mse3  0.250604  0.200674  0.176717  0.198773  0.277209  0.326478  0.239974  \n",
+      "\n",
+      "[3 rows x 225 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "minMSE = mse_result.idxmin()\n",
+    "print(minMSE)\n",
+    "\n",
+    "print(mse_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# pvalue_result.columns = [\"p1\",\"p2\",\"p3\"]\n",
+    "\n",
+    "# print(pvalue_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# rvalue_result.columns = [\"r1\",\"r2\",\"r3\"]\n",
+    "# print(rvalue_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.09889121752201889\n",
+      "0.0943285422996137\n",
+      "0.31950231427523035\n",
+      "0.11315431881789152\n",
+      "0.10514939486950832\n",
+      "0.13317884818626838\n",
+      "0.04578579033959973\n",
+      "0.08042755920071351\n",
+      "0.2503789550024557\n",
+      "0.11213885851416264\n",
+      "0.12186793393342182\n",
+      "0.20190726264968384\n",
+      "0.3509429787253682\n",
+      "0.32541594919029554\n",
+      "0.08528650803056174\n",
+      "0.13763564355567962\n",
+      "0.08012526888079799\n",
+      "0.13253482205965422\n",
+      "0.19291412892579957\n",
+      "0.0559227796093987\n",
+      "0.06537129352056005\n",
+      "0.17886043510849625\n",
+      "0.1560246615350091\n",
+      "0.2222381669405133\n",
+      "0.215978795458972\n",
+      "0.11375716423000684\n",
+      "0.47815794583899096\n",
+      "0.11705687793958357\n",
+      "0.20353171323770963\n",
+      "0.07199777812843675\n",
+      "0.2287430673356061\n",
+      "0.08970158475257362\n",
+      "0.1299459584882021\n",
+      "0.1418574531686212\n",
+      "0.05665781864690379\n",
+      "0.18153708419971948\n",
+      "0.11706498897176869\n",
+      "0.17650933099444802\n",
+      "0.12781678968324506\n",
+      "0.07278866431745934\n",
+      "0.14995104442276785\n",
+      "0.160340673316442\n",
+      "0.25237900246603945\n",
+      "0.1960886414092957\n",
+      "0.14236544878279636\n",
+      "0.2003490583692743\n",
+      "0.3045762606239231\n",
+      "0.16073430871816632\n",
+      "0.13546511927557014\n",
+      "0.06190897430275994\n",
+      "0.865601062740658\n",
+      "0.6000519431900272\n",
+      "0.04217252120082903\n",
+      "0.1837464099483956\n",
+      "0.06023358098683702\n",
+      "0.16577538673498207\n",
+      "0.11188110598541207\n",
+      "0.04411624849247633\n",
+      "0.10885513483161179\n",
+      "0.18467276773600627\n",
+      "0.22355897382220377\n",
+      "0.1614960501321371\n",
+      "0.16355348849430396\n",
+      "0.10766308351332741\n",
+      "0.06849896127427424\n",
+      "0.30298450952184314\n",
+      "0.2458981678580163\n",
+      "0.15878019711048974\n",
+      "0.10621809779222031\n",
+      "0.20812988892151668\n",
+      "0.13913284450015567\n",
+      "0.1059005850765521\n",
+      "0.19336832222340633\n",
+      "0.1780797067322212\n",
+      "0.17854841379986214\n",
+      "0.1549340098542321\n",
+      "0.07284450142444486\n",
+      "0.27067498991434086\n",
+      "0.17189670242975028\n",
+      "0.09025956606433765\n",
+      "0.22508765100242345\n",
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+      "0.33714423636769963\n",
+      "0.33912910670315727\n",
+      "0.07161758696695872\n",
+      "0.07397189009776113\n",
+      "0.2260506828509647\n",
+      "0.08596565381251449\n",
+      "0.11628872507037022\n",
+      "0.07923417407885362\n",
+      "0.1841768702963187\n",
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+      "0.04358141004418022\n",
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+      "0.953321613554908\n",
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+      "0.09030703478578586\n",
+      "0.059465722039105676\n",
+      "0.07369610499270658\n",
+      "0.1527603083272205\n",
+      "0.40428619318653336\n",
+      "0.31331893902990954\n",
+      "0.06214448621044182\n",
+      "0.3166158683296025\n",
+      "0.5052404236525616\n",
+      "0.11340694909924369\n",
+      "0.1939299313079656\n",
+      "0.30812155084322324\n",
+      "0.15172123473841473\n",
+      "1.70070489208774\n",
+      "0.13102290898840585\n",
+      "0.16100877651779275\n",
+      "0.09095015883539534\n",
+      "0.12373311275114751\n",
+      "0.21451163425612924\n",
+      "0.23335534212726763\n",
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+      "0.0557026539869544\n",
+      "0.11133928047566223\n",
+      "0.05295367321656632\n",
+      "0.14371848704473605\n",
+      "0.03534567681078277\n",
+      "0.036947040854912155\n",
+      "0.08677824627598008\n",
+      "0.13135153900091873\n",
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+      "0.13838007652340148\n",
+      "0.14763905634389926\n",
+      "0.22012734102029255\n",
+      "0.14549211576313315\n",
+      "0.11996097124140248\n",
+      "0.15517824042441733\n",
+      "0.19653387574107706\n",
+      "0.14567037703663033\n",
+      "0.20295090227156848\n",
+      "0.19229872601627704\n",
+      "0.2240298195476465\n",
+      "0.1693718666882403\n",
+      "0.1420339055580221\n",
+      "0.17094045355982157\n",
+      "0.29806433806301974\n",
+      "0.3403347355125847\n",
+      "0.2900456588128333\n"
+     ]
+    }
+   ],
+   "source": [
+    "for index in mse_result:\n",
+    "    print(mse_result[index]['mse1'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            0\n",
+      "0    0.098891\n",
+      "1    0.094329\n",
+      "2    0.278150\n",
+      "3    0.113154\n",
+      "4    0.099365\n",
+      "..        ...\n",
+      "220  0.142034\n",
+      "221  0.170940\n",
+      "222  0.277209\n",
+      "223  0.326478\n",
+      "224  0.239974\n",
+      "\n",
+      "[225 rows x 1 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "mse_min = pd.DataFrame()\n",
+    "MSE_min = list()\n",
+    "for index in mse_result:\n",
+    "    v = mse_result[index][minMSE[index]]\n",
+    "    MSE_min.append(v)\n",
+    "#     print(v)\n",
+    "mse_min = pd.DataFrame(MSE_min)\n",
+    "print(mse_min)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "     0GCP2MET_models  0v_GCP2MET_models\n",
+      "0           0.105660           0.098891\n",
+      "1           0.113761           0.094329\n",
+      "2           0.211453           0.278150\n",
+      "3           0.124643           0.113154\n",
+      "4           0.102915           0.099365\n",
+      "..               ...                ...\n",
+      "220         0.157474           0.142034\n",
+      "221         0.174273           0.170940\n",
+      "222         0.269746           0.277209\n",
+      "223         0.353366           0.326478\n",
+      "224         0.266817           0.239974\n",
+      "\n",
+      "[225 rows x 2 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "raw = mse1.join(mse_min, lsuffix='GCP2MET_models', rsuffix='v_GCP2MET_models')\n",
+    "print(raw)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression()]\n"
+     ]
+    }
+   ],
+   "source": [
+    "GCP2MET_models\n",
+    "v_GCP2MET_models\n",
+    "new = list()\n",
+    "for index, row in raw.iterrows():\n",
+    "    if row['0GCP2MET_models'] < row['0v_GCP2MET_models']:\n",
+    "        \n",
+    "        new.append(GCP2MET_models[index])\n",
+    "    else:\n",
+    "        new.append(v_GCP2MET_models[index])\n",
+    "        \n",
+    "    \n",
+    "print(new)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# mse_result,p_result,pearson_result = evaluate_models(new, Xtest, Ytest)\n",
+    "# print(mse_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/src/python/EDA/CCLE metabolomics dataset.xlsx b/src/python/EDA/CCLE metabolomics dataset.xlsx
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diff --git a/src/python/EDA/GCP_proteomics_remapped.csv b/src/python/EDA/GCP_proteomics_remapped.csv
new file mode 100644
index 0000000..81b280c
--- /dev/null
+++ b/src/python/EDA/GCP_proteomics_remapped.csv
@@ -0,0 +1,867 @@
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diff --git a/src/python/EDA/LASSO.ipynb b/src/python/EDA/LASSO.ipynb
new file mode 100644
index 0000000..bfd085a
--- /dev/null
+++ b/src/python/EDA/LASSO.ipynb
@@ -0,0 +1,175 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "from sklearn.model_selection import train_test_split\n",
+    "from sklearn import linear_model\n",
+    "from scipy.stats import pearsonr\n",
+    "from sklearn.metrics import mean_squared_error\n",
+    "from sklearn.metrics import mean_absolute_error\n",
+    "from sklearn.model_selection import KFold\n",
+    "from sklearn.linear_model import LassoCV\n",
+    "from sklearn.linear_model import MultiTaskLassoCV\n",
+    "from yellowbrick.datasets import load_concrete\n",
+    "from yellowbrick.regressor import AlphaSelection\n",
+    "from yellowbrick.regressor.alphas import alphas\n",
+    "\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "           0         1         2         3         4         5         6   \\\n",
+      "0    0.024045  0.188199  0.675553  0.262296 -0.004142 -0.115229  0.084376   \n",
+      "1   -0.097078 -0.157050 -0.224470  0.069887 -0.666851 -0.274659  0.297153   \n",
+      "2   -0.013619  0.142626  0.808153  0.088745  0.323300 -0.194603 -0.181593   \n",
+      "3   -0.113688 -0.867921  0.262414 -0.515059 -0.715857 -0.489771  0.429724   \n",
+      "4    0.083515 -0.081834  0.252509  0.816542  0.162376  0.000064 -0.136875   \n",
+      "..        ...       ...       ...       ...       ...       ...       ...   \n",
+      "599  0.151816 -0.315067 -0.648378  0.193388  0.359878 -0.053571  0.250489   \n",
+      "600  0.104364  0.441337 -0.802840  0.000000 -0.074239 -0.069448  0.489005   \n",
+      "601 -0.062003  0.391046  0.830222  0.240985  0.415098 -0.286115 -0.503596   \n",
+      "602  0.026296  0.433020 -0.152342  0.000000  0.523850  0.187276 -0.151856   \n",
+      "603  0.189941  0.250454  0.351840  0.056213 -0.278875  0.217273  0.428281   \n",
+      "\n",
+      "           7         8         9   ...        32        33        34  \\\n",
+      "0   -0.052258  0.447639  0.016134  ...  0.137631  0.000000 -0.603699   \n",
+      "1    0.105155 -0.567466 -0.809061  ...  0.197616  0.389500  0.467478   \n",
+      "2   -0.214432  1.043308  0.601490  ...  0.412057  0.054479  1.171037   \n",
+      "3    0.286528 -0.789335 -1.151862  ... -0.461491  0.057651  0.207343   \n",
+      "4   -0.191180 -0.088426  0.071387  ...  0.614286  0.211648  0.224663   \n",
+      "..        ...       ...       ...  ...       ...       ...       ...   \n",
+      "599 -0.128719  0.462128  0.204293  ... -0.031170 -0.644442 -0.627305   \n",
+      "600  0.975963 -1.240632 -0.499932  ... -1.154116  0.000000 -0.141234   \n",
+      "601  0.269331  0.694784  0.747404  ...  1.509050  2.210702  2.513757   \n",
+      "602  0.011697 -0.472222  0.248987  ... -0.895285 -2.053851 -0.708459   \n",
+      "603  0.704271 -0.541532 -0.556178  ... -0.514845  0.013471  0.345506   \n",
+      "\n",
+      "           35        36        37        38        39        40        41  \n",
+      "0   -0.667995  0.316746 -0.029695  0.000000  0.000191 -0.168218 -0.000251  \n",
+      "1    0.611950  0.354570 -0.182066  0.000000 -0.208689 -0.194650 -0.138971  \n",
+      "2    1.398423 -1.077949 -0.160534  0.000000  0.022644 -0.133896  0.268145  \n",
+      "3    0.904496  0.527108  0.017963 -0.042088 -0.151146 -0.274399 -0.637427  \n",
+      "4    1.166488  0.115585 -0.074791 -0.133634  0.019775 -0.192592  0.295620  \n",
+      "..        ...       ...       ...       ...       ...       ...       ...  \n",
+      "599 -0.492813 -0.189030 -0.121792  0.000000 -0.070342 -0.514645 -0.923504  \n",
+      "600 -0.090101  0.107387  0.298188  0.245337  0.301274  0.638392  0.971973  \n",
+      "601  2.349932  0.673580  0.020718  0.043830 -0.072263  0.244126  0.383435  \n",
+      "602 -0.883196 -0.641112  0.160654  0.000000  0.241441 -0.846828 -4.534240  \n",
+      "603  1.790447  0.125257  0.167975 -0.121523  0.080734  0.507183  1.247483  \n",
+      "\n",
+      "[604 rows x 42 columns]\n",
+      "0      5.576498\n",
+      "1      6.321703\n",
+      "2      5.670336\n",
+      "3      6.116715\n",
+      "4      5.461830\n",
+      "         ...   \n",
+      "599    5.583143\n",
+      "600    5.810373\n",
+      "601    6.119355\n",
+      "602    5.716324\n",
+      "603    6.041780\n",
+      "Name: 0, Length: 604, dtype: float64\n"
+     ]
+    }
+   ],
+   "source": [
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "MET = merge_tb.iloc[:,1:226]\n",
+    "GCP = merge_tb.iloc[:,227:269]\n",
+    "\n",
+    "GCP = np.nan_to_num(GCP, nan=0)\n",
+    "MET = np.nan_to_num(MET, nan=0)\n",
+    "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
+    "df_Xtrain = pd.DataFrame(Xtrain)\n",
+    "df_Ytrain = pd.DataFrame(Ytrain)\n",
+    "print(df_Xtrain)\n",
+    "print(df_Ytrain[0])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 576x396 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7fdc95643df0>"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "## GCP_to_MET\n",
+    "\n",
+    "alphas = np.logspace(10**-6, 1, 10)\n",
+    "scores = np.empty_like(alphas)\n",
+    "\n",
+    "model = LassoCV(alphas=alphas)\n",
+    "visualizer = AlphaSelection(model)\n",
+    "\n",
+    "visualizer.fit(df_Xtrain,df_Ytrain[0])\n",
+    "visualizer.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/src/python/EDA/corr.csv b/src/python/EDA/corr.csv
new file mode 100644
index 0000000..cb4e666
--- /dev/null
+++ b/src/python/EDA/corr.csv
@@ -0,0 +1,226 @@
+,H3K4me0,H3K4me1,H3K4me2,H3K4ac1,H3K9me0K14ac0,H3K9me1K14ac0,H3K9me2K14ac0,H3K9me3K14ac0,H3K9ac1K14ac0,H3K9me0K14ac1,H3K9me1K14ac1,H3K9me2K14ac1,H3K9me3K14ac1,H3K9ac1K14ac1,H3K18ac0K23ac0,H3K18ac1K23ac0,H3K18ac0K23ac1,H3K18ac1K23ac1,H3K18ac0K23ub1,H3K27me0K36me0,H3K27me0K36me1,H3K27me0K36me2,H3K27me0K36me3,H3K27me1K36me0,H3K27me1K36me1,H3K27me1K36me2,H3K27me1K36me3,H3K27me2K36me0,H3K27me2K36me1,H3K27me2K36me2,H3K27me3K36me0,H3K27me3K36me1,H3K27ac1K36me0,H3K27ac1K36me1,H3K27ac1K36me2,H3K27ac1K36me3,H3.3K27me0K36me0,H3K56me0,H3K56me1,H3K79me0,H3K79me1,H3K79me2
+2-aminoadipate,0.01057970886037784,-0.0021257326882899857,-0.04119337857641152,-0.013647997245459712,0.05092332411548106,0.008835506676204644,-0.004897430326168107,-0.026113350109523734,0.11530413339057893,0.008429170491233692,-0.015076697579731763,-0.01574322193489893,-0.08817515795482431,0.07659925980098957,-0.014575980955547565,-0.008393018317853676,0.026148634593900353,0.004068771470790058,0.07283082763488581,0.06545159711348547,0.10641125511029843,0.10006255960026497,0.06310295455888207,0.016540998989601995,0.06109271722891609,0.048129734225293784,0.01652449377065407,-0.0536719203638974,-0.04388620265391038,0.007491999671582064,0.033471411015884966,-0.005939860516253553,0.005170698574555114,0.07212515998676679,0.10213331718427261,0.040593714970034285,-0.04733395131217922,-0.015090300065203994,0.03849637076363528,0.02600360396754287,0.021895033149677917,0.009091890241570585
+3-phosphoglycerate,-0.0015811654692138484,-0.019890222409867268,-0.07145925601434414,-0.08401754247017691,-0.017794825550670888,-0.053067902200615,-0.06487460053389535,0.09079799567796779,0.03409062225278605,-0.03603496060038301,-0.07446555266026951,-0.0705387225342463,-0.012573215204769598,0.018480233241026333,-0.015484677762547276,0.052707486925805666,-0.07910746065343471,0.016749526870307348,-0.029572568274196687,0.08650965255056446,-0.000558755348120012,-0.04903735150833766,0.0430760427387467,0.08936014588373245,0.012633007352773222,-0.014806696022845229,0.07344619974282075,0.05885736039201961,0.025798454233691284,-0.04117848699777371,-0.041017167999127455,-0.06135105326737855,0.07890028558777247,0.09340419884407655,0.09014992928415728,0.026672519461363835,0.027274743138812903,-0.053513503316877764,-0.011798804802610667,-0.041461241066900315,-0.02851845115606883,-0.009319413243138144
+Alpha-glycerophosphate,-0.0024531587526654044,-0.0454343729191863,0.08709684907076769,0.12492126689842678,-0.04679462881516987,-0.09067031513050919,-0.04087715834200786,-0.059713578611187645,0.0024683217376542266,0.09368973114677409,0.10596411649471821,0.12598699973359642,0.07230738688032809,0.06592977777128313,-0.05299337592410294,0.014427336304481765,0.11849870547447927,0.09310518557833602,-0.05973055099521251,0.02610722331808098,0.0009150049035814431,0.11072621438237547,0.031081878859057336,0.023000743142503225,-0.033702662098828724,-0.0009213068688767126,-0.05052892636805459,0.029055137642611577,-0.04723914621006559,-0.05214094712470441,0.06163643979608405,0.02549580700337225,0.0933949957288136,0.051769355163272336,0.05086130433357989,0.10843714444123768,-0.12637586177323318,-0.050834431561577964,0.08133455135136693,-0.069508567875402,-0.05464069338893814,-0.010630711491055548
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diff --git a/src/python/EDA/correlation.csv b/src/python/EDA/correlation.csv
new file mode 100644
index 0000000..6216f59
--- /dev/null
+++ b/src/python/EDA/correlation.csv
@@ -0,0 +1,268 @@
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diff --git a/src/python/EDA/linear regression.ipynb b/src/python/EDA/linear regression.ipynb
new file mode 100644
index 0000000..4dc2540
--- /dev/null
+++ b/src/python/EDA/linear regression.ipynb	
@@ -0,0 +1,756 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "from sklearn.model_selection import train_test_split\n",
+    "from sklearn.linear_model import LinearRegression\n",
+    "from scipy.stats import pearsonr\n",
+    "from sklearn.metrics import mean_squared_error\n",
+    "from sklearn.metrics import mean_absolute_error\n",
+    "from sklearn.model_selection import KFold\n",
+    " "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "   2-aminoadipate  3-phosphoglycerate  Alpha-glycerophosphate  4-pyridoxate  \\\n",
+      "0        6.112727            6.034198                5.896896      6.000532   \n",
+      "1        5.577413            5.727045                5.111468      6.073250   \n",
+      "2        5.886398            5.574881                5.541259      5.848375   \n",
+      "3        5.770030            6.099229                6.233259      5.543495   \n",
+      "4        5.480683            5.469742                6.509397      6.251005   \n",
+      "\n",
+      "   Aconitate   Adenine   Adipate  Alpha-ketoglutarate       AMP   Citrate  \\\n",
+      "0   5.513618  5.868529  5.977177             5.693074  5.923737  5.641242   \n",
+      "1   5.802494  5.824473  5.888821             5.768379  5.760784  5.914742   \n",
+      "2   5.665026  5.875548  5.894904             5.839640  5.742613  5.570208   \n",
+      "3   5.767759  6.155905  6.111148             5.949481  6.342703  6.054781   \n",
+      "4   5.190578  5.897085  6.148333             5.607481  5.871600  5.128463   \n",
+      "\n",
+      "   ...  C56:8 TAG  C56:7 TAG  C56:6 TAG  C56:5 TAG  C56:4 TAG  C56:3 TAG  \\\n",
+      "0  ...   6.070239   6.133433   6.091089   6.257711   6.372732   6.202511   \n",
+      "1  ...   6.248653   6.633575   6.378052   6.341043   6.360945   6.333540   \n",
+      "2  ...   5.942887   5.946988   5.837980   5.913350   6.137530   5.807546   \n",
+      "3  ...   6.516922   6.113791   6.282113   6.248667   6.109480   6.043570   \n",
+      "4  ...   6.161981   6.777932   6.676390   6.695659   6.751029   6.385056   \n",
+      "\n",
+      "   C56:2 TAG  C58:8 TAG  C58:7 TAG  C58:6 TAG  \n",
+      "0   5.939576   6.309821   6.115974   5.999436  \n",
+      "1   6.137271   7.065858   6.832174   6.363064  \n",
+      "2   5.704149   5.881193   5.785208   5.504225  \n",
+      "3   5.846802   6.429402   5.779815   6.241530  \n",
+      "4   6.682612   6.757899   6.728570   6.879260  \n",
+      "\n",
+      "[5 rows x 225 columns]\n",
+      "    H3K4me0   H3K4me1   H3K4me2   H3K4ac1  H3K9me0K14ac0  H3K9me1K14ac0  \\\n",
+      "0  0.116020 -0.153144 -0.348607 -1.417128      -1.281177      -0.719707   \n",
+      "1 -0.058624  0.219592  0.110946 -0.170282       0.334630       0.497303   \n",
+      "2  0.480909  0.298440  0.073777  0.413953      -0.479543       0.133280   \n",
+      "3 -0.079957 -0.617656 -0.566702  0.079932       0.373140       0.159682   \n",
+      "4 -0.059965 -0.063483 -0.267980  0.357422       0.075651       0.047830   \n",
+      "\n",
+      "   H3K9me2K14ac0  H3K9me3K14ac0  H3K9ac1K14ac0  H3K9me0K14ac1  ...  \\\n",
+      "0      -0.208080      -0.033416      -0.967821      -1.150058  ...   \n",
+      "1       0.307907      -0.466686       0.062518      -0.517698  ...   \n",
+      "2       0.053279      -0.220467      -0.427160       0.215504  ...   \n",
+      "3       0.060946      -0.181112       0.208328       0.182229  ...   \n",
+      "4       0.115243      -0.498239      -0.059567       0.845077  ...   \n",
+      "\n",
+      "   H3K27ac1K36me0  H3K27ac1K36me1  H3K27ac1K36me2  H3K27ac1K36me3  \\\n",
+      "0        0.396178        1.261963        0.492776       -0.211349   \n",
+      "1       -1.198709       -1.394997       -1.123119       -1.501911   \n",
+      "2        0.055683       -0.659294        0.114288       -1.289012   \n",
+      "3        1.098303        0.381884        0.258282        0.751323   \n",
+      "4       -0.185237        0.239421        0.358072       -0.176527   \n",
+      "\n",
+      "   H3.3K27me0K36me0  H3K56me0  H3K56me1  H3K79me0  H3K79me1  H3K79me2  \n",
+      "0         -0.554973 -0.222912 -0.310910 -0.272655  0.271469  0.469647  \n",
+      "1         -0.180229 -0.075173       NaN  0.051018  0.099032  0.169761  \n",
+      "2          0.280396  0.117564       NaN  0.185984  0.191760 -0.437561  \n",
+      "3          0.031194 -0.199316  0.037929  0.003978 -0.225147 -0.061445  \n",
+      "4         -0.351188  0.037021       NaN  0.045495 -0.153684 -0.106306  \n",
+      "\n",
+      "[5 rows x 42 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "MET = merge_tb.iloc[:,1:226]\n",
+    "GCP = merge_tb.iloc[:,227:269]\n",
+    "print(MET.head())\n",
+    "print(GCP.head())\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(259, 42)\n",
+      "(604, 225)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# GCP.to_numpy()\n",
+    "# MET.to_numpy()\n",
+    "GCP = np.nan_to_num(GCP, nan=0)\n",
+    "MET = np.nan_to_num(MET, nan=0)\n",
+    "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
+    "\n",
+    "# print(GCP.shape)\n",
+    "# print(Xtrain)\n",
+    "print(Xtest.shape)\n",
+    "# print(MET.shape)\n",
+    "print(Ytrain.shape)\n",
+    "# print(Ytest.shape)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression()]\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "GCP2MET_models = []\n",
+    "for i in range(Ytrain.shape[1]):\n",
+    "    mdl_G2M = LinearRegression().fit(Xtrain, Ytrain[:, i])\n",
+    "    GCP2MET_models.append(mdl_G2M)\n",
+    "\n",
+    "#     GCP2MET_models.append(mdl_G2M.coef_)\n",
+    "#     Ypred = mdl_G2M.coef_ * Xtest\n",
+    "print(GCP2MET_models)\n",
+    "# print(len(GCP2MET_models))\n",
+    "\n",
+    "MET2GCP_models = []\n",
+    "\n",
+    "for j in range(Xtrain.shape[1]):\n",
+    "    mdl_M2G = LinearRegression().fit(Ytrain, Xtrain[:,j])\n",
+    "    MET2GCP_models.append(mdl_M2G)\n",
+    "\n",
+    "#     MET2GCP_models.append(mdl_M2G.coef_)\n",
+    "#     print(MET2GCP_models)\n",
+    "# print(len(MET2GCP_models))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def evaluate_models(models, Xtest, Ytest):\n",
+    "    \"\"\"\n",
+    "    evaluate_models returns results from the model predictions, including the pearson\n",
+    "    correlation coefficient, p-Values, and MSE.\n",
+    "\n",
+    "    :param models:         A list of scikit-learn model objects.\n",
+    "    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.\n",
+    "    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.\n",
+    "    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.\n",
+    "    \n",
+    "    \"\"\"\n",
+    "    \n",
+    "    predictions = []\n",
+    "    rValue = list()\n",
+    "    pValue = list()\n",
+    "    MSE = list()\n",
+    "    for i in range(len(models)):\n",
+    "        mdl = models[i]\n",
+    "        Ypred = mdl.predict(Xtest)\n",
+    "        predictions.append(Ypred)\n",
+    "        \n",
+    "        r, pvalue = pearsonr(Ypred, Ytest[:, i])\n",
+    "        rValue.append(r)\n",
+    "        pValue.append(pvalue)\n",
+    "        \n",
+    "        mse = mean_squared_error(Ypred, Ytest[:, i])\n",
+    "        MSE.append(mse)\n",
+    "           \n",
+    "\n",
+    "    df_MSE = pd.DataFrame(MSE)\n",
+    "    df_pValue = pd.DataFrame(pValue)\n",
+    "    df_rValue = pd.DataFrame(rValue)\n",
+    "    \n",
+    "    return df_MSE, df_pValue, df_rValue\n",
+    "\n",
+    "mse1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            0\n",
+      "0    0.105660\n",
+      "1    0.113761\n",
+      "2    0.211453\n",
+      "3    0.124643\n",
+      "4    0.102915\n",
+      "..        ...\n",
+      "220  0.157474\n",
+      "221  0.174273\n",
+      "222  0.269746\n",
+      "223  0.353366\n",
+      "224  0.266817\n",
+      "\n",
+      "[225 rows x 1 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "print(mse1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "           0         1         2         3         4         5         6    \\\n",
+      "mse1  0.098891  0.094329  0.319502  0.113154  0.105149  0.133179  0.045786   \n",
+      "mse2  0.123628  0.103319  0.335725  0.139940  0.102402  0.140503  0.043725   \n",
+      "mse3  0.099345  0.103648  0.278150  0.128813  0.099365  0.136939  0.038375   \n",
+      "\n",
+      "           7         8         9    ...       215       216       217  \\\n",
+      "mse1  0.080428  0.250379  0.112139  ...  0.145670  0.202951  0.192299   \n",
+      "mse2  0.064761  0.253493  0.116281  ...  0.101652  0.203684  0.191712   \n",
+      "mse3  0.067909  0.191660  0.102278  ...  0.124050  0.197997  0.183160   \n",
+      "\n",
+      "           218       219       220       221       222       223       224  \n",
+      "mse1  0.224030  0.169372  0.142034  0.170940  0.298064  0.340335  0.290046  \n",
+      "mse2  0.250278  0.189576  0.166025  0.201022  0.316814  0.396047  0.300359  \n",
+      "mse3  0.250604  0.200674  0.176717  0.198773  0.277209  0.326478  0.239974  \n",
+      "\n",
+      "[3 rows x 225 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "kf = KFold(n_splits=3)\n",
+    "\n",
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse_result = pd.DataFrame()\n",
+    "pvalue_result = pd.DataFrame()\n",
+    "rvalue_result = pd.DataFrame()\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "#     print(\"TRAIN:\", train_index, \"TEST:\", test_index)\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_GCP2MET_models = []\n",
+    "    final_metrics = []\n",
+    "    for i in range(y_train.shape[1]):\n",
+    "        mdl_G2M = LinearRegression().fit(X_train, y_train[:, i])\n",
+    "        v_GCP2MET_models.append(mdl_G2M)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)\n",
+    "#     print(\"mse:_\")\n",
+    "#     print(df_MSE)\n",
+    "    mse_result = pd.concat([mse_result,df_MSE],axis = 1)\n",
+    "    pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "    rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "\n",
+    "    \n",
+    "mse_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse_result = mse_result.T\n",
+    "print(mse_result)\n",
+    "       \n",
+    "    \n",
+    "\n",
+    "# MET2GCP_models = []\n",
+    "\n",
+    "# for j in range(Xtrain.shape[1]):\n",
+    "#     mdl_M2G = LinearRegression().fit(Ytrain, Xtrain[:,j])\n",
+    "#     MET2GCP_models.append(mdl_M2G)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0      mse1\n",
+      "1      mse1\n",
+      "2      mse3\n",
+      "3      mse1\n",
+      "4      mse3\n",
+      "       ... \n",
+      "220    mse1\n",
+      "221    mse1\n",
+      "222    mse3\n",
+      "223    mse3\n",
+      "224    mse3\n",
+      "Length: 225, dtype: object\n",
+      "           0         1         2         3         4         5         6    \\\n",
+      "mse1  0.098891  0.094329  0.319502  0.113154  0.105149  0.133179  0.045786   \n",
+      "mse2  0.123628  0.103319  0.335725  0.139940  0.102402  0.140503  0.043725   \n",
+      "mse3  0.099345  0.103648  0.278150  0.128813  0.099365  0.136939  0.038375   \n",
+      "\n",
+      "           7         8         9    ...       215       216       217  \\\n",
+      "mse1  0.080428  0.250379  0.112139  ...  0.145670  0.202951  0.192299   \n",
+      "mse2  0.064761  0.253493  0.116281  ...  0.101652  0.203684  0.191712   \n",
+      "mse3  0.067909  0.191660  0.102278  ...  0.124050  0.197997  0.183160   \n",
+      "\n",
+      "           218       219       220       221       222       223       224  \n",
+      "mse1  0.224030  0.169372  0.142034  0.170940  0.298064  0.340335  0.290046  \n",
+      "mse2  0.250278  0.189576  0.166025  0.201022  0.316814  0.396047  0.300359  \n",
+      "mse3  0.250604  0.200674  0.176717  0.198773  0.277209  0.326478  0.239974  \n",
+      "\n",
+      "[3 rows x 225 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "minMSE = mse_result.idxmin()\n",
+    "print(minMSE)\n",
+    "\n",
+    "print(mse_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# pvalue_result.columns = [\"p1\",\"p2\",\"p3\"]\n",
+    "\n",
+    "# print(pvalue_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# rvalue_result.columns = [\"r1\",\"r2\",\"r3\"]\n",
+    "# print(rvalue_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.09889121752201889\n",
+      "0.0943285422996137\n",
+      "0.31950231427523035\n",
+      "0.11315431881789152\n",
+      "0.10514939486950832\n",
+      "0.13317884818626838\n",
+      "0.04578579033959973\n",
+      "0.08042755920071351\n",
+      "0.2503789550024557\n",
+      "0.11213885851416264\n",
+      "0.12186793393342182\n",
+      "0.20190726264968384\n",
+      "0.3509429787253682\n",
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+      "0.11191078091881561\n",
+      "0.061457554216861256\n",
+      "0.10250425872357652\n",
+      "0.07651174688619893\n",
+      "0.12481673918745015\n",
+      "0.061145898296180126\n",
+      "0.18707773893502933\n",
+      "0.13297378462130957\n",
+      "0.04058209113116371\n",
+      "0.09172646683956784\n",
+      "0.07106638421982173\n",
+      "0.07716383750507226\n",
+      "0.031457809707597616\n",
+      "0.02514709197394742\n",
+      "0.06468792356907108\n",
+      "0.05954297821263373\n",
+      "0.04671779947638809\n",
+      "0.02917805544378862\n",
+      "0.05914908750812566\n",
+      "0.08160102592060212\n",
+      "0.07635133906221078\n",
+      "0.0500481772403784\n",
+      "0.08908614782954417\n",
+      "0.10138001931068195\n",
+      "0.03176938892045923\n",
+      "0.027324265513848974\n",
+      "0.0557026539869544\n",
+      "0.11133928047566223\n",
+      "0.05295367321656632\n",
+      "0.14371848704473605\n",
+      "0.03534567681078277\n",
+      "0.036947040854912155\n",
+      "0.08677824627598008\n",
+      "0.13135153900091873\n",
+      "0.2632769510077481\n",
+      "0.1386593807216776\n",
+      "0.12397580823777024\n",
+      "0.07834275862351467\n",
+      "0.056242065761886964\n",
+      "0.08929602964500961\n",
+      "0.07406492412188777\n",
+      "0.10239146509167323\n",
+      "0.13111809128941898\n",
+      "0.09905079268814086\n",
+      "0.09361966812832985\n",
+      "0.13316975534732206\n",
+      "0.1429883929334547\n",
+      "0.11799012920711918\n",
+      "0.1364350870172269\n",
+      "0.1373462500807835\n",
+      "0.18528852746346577\n",
+      "0.09277607566251678\n",
+      "0.292468521032657\n",
+      "0.18365151014119657\n",
+      "0.22239314145102418\n",
+      "0.22583409253490344\n",
+      "0.16913946689009668\n",
+      "0.13989842830514998\n",
+      "0.1724677598910885\n",
+      "0.2416795620694873\n",
+      "0.1457513190437113\n",
+      "0.14270057853308427\n",
+      "0.1106358593635556\n",
+      "0.1112700945593258\n",
+      "0.18438576731780357\n",
+      "0.13838007652340148\n",
+      "0.14763905634389926\n",
+      "0.22012734102029255\n",
+      "0.14549211576313315\n",
+      "0.11996097124140248\n",
+      "0.15517824042441733\n",
+      "0.19653387574107706\n",
+      "0.14567037703663033\n",
+      "0.20295090227156848\n",
+      "0.19229872601627704\n",
+      "0.2240298195476465\n",
+      "0.1693718666882403\n",
+      "0.1420339055580221\n",
+      "0.17094045355982157\n",
+      "0.29806433806301974\n",
+      "0.3403347355125847\n",
+      "0.2900456588128333\n"
+     ]
+    }
+   ],
+   "source": [
+    "for index in mse_result:\n",
+    "    print(mse_result[index]['mse1'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            0\n",
+      "0    0.098891\n",
+      "1    0.094329\n",
+      "2    0.278150\n",
+      "3    0.113154\n",
+      "4    0.099365\n",
+      "..        ...\n",
+      "220  0.142034\n",
+      "221  0.170940\n",
+      "222  0.277209\n",
+      "223  0.326478\n",
+      "224  0.239974\n",
+      "\n",
+      "[225 rows x 1 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "mse_min = pd.DataFrame()\n",
+    "MSE_min = list()\n",
+    "for index in mse_result:\n",
+    "    v = mse_result[index][minMSE[index]]\n",
+    "    MSE_min.append(v)\n",
+    "#     print(v)\n",
+    "mse_min = pd.DataFrame(MSE_min)\n",
+    "print(mse_min)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "     0GCP2MET_models  0v_GCP2MET_models\n",
+      "0           0.105660           0.098891\n",
+      "1           0.113761           0.094329\n",
+      "2           0.211453           0.278150\n",
+      "3           0.124643           0.113154\n",
+      "4           0.102915           0.099365\n",
+      "..               ...                ...\n",
+      "220         0.157474           0.142034\n",
+      "221         0.174273           0.170940\n",
+      "222         0.269746           0.277209\n",
+      "223         0.353366           0.326478\n",
+      "224         0.266817           0.239974\n",
+      "\n",
+      "[225 rows x 2 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "raw = mse1.join(mse_min, lsuffix='GCP2MET_models', rsuffix='v_GCP2MET_models')\n",
+    "print(raw)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression()]\n"
+     ]
+    }
+   ],
+   "source": [
+    "GCP2MET_models\n",
+    "v_GCP2MET_models\n",
+    "new = list()\n",
+    "for index, row in raw.iterrows():\n",
+    "    if row['0GCP2MET_models'] < row['0v_GCP2MET_models']:\n",
+    "        \n",
+    "        new.append(GCP2MET_models[index])\n",
+    "    else:\n",
+    "        new.append(v_GCP2MET_models[index])\n",
+    "        \n",
+    "    \n",
+    "print(new)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# mse_result,p_result,pearson_result = evaluate_models(new, Xtest, Ytest)\n",
+    "# print(mse_result)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/src/python/EDA/new_corr.csv b/src/python/EDA/new_corr.csv
new file mode 100644
index 0000000..201a7b2
--- /dev/null
+++ b/src/python/EDA/new_corr.csv
@@ -0,0 +1,226 @@
+,H3K4me0,H3K4me1,H3K4me2,H3K4ac1,H3K9me0K14ac0,H3K9me1K14ac0,H3K9me2K14ac0,H3K9me3K14ac0,H3K9ac1K14ac0,H3K9me0K14ac1,H3K9me1K14ac1,H3K9me2K14ac1,H3K9me3K14ac1,H3K9ac1K14ac1,H3K18ac0K23ac0,H3K18ac1K23ac0,H3K18ac0K23ac1,H3K18ac1K23ac1,H3K18ac0K23ub1,H3K27me0K36me0,H3K27me0K36me1,H3K27me0K36me2,H3K27me0K36me3,H3K27me1K36me0,H3K27me1K36me1,H3K27me1K36me2,H3K27me1K36me3,H3K27me2K36me0,H3K27me2K36me1,H3K27me2K36me2,H3K27me3K36me0,H3K27me3K36me1,H3K27ac1K36me0,H3K27ac1K36me1,H3K27ac1K36me2,H3K27ac1K36me3,H3.3K27me0K36me0,H3K56me0,H3K56me1,H3K79me0,H3K79me1,H3K79me2
+2-aminoadipate,,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+3-phosphoglycerate,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,1,1,1,,,,,,,
+Alpha-glycerophosphate,,,1,1,,-1,,,,1,1,1,1,,,,1,1,,,,1,,,,,-1,,,,,,,,,1,-1,,1,,-1,-1
+4-pyridoxate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Aconitate,,1,,,1,,,1,1,,,,,1,,,,,-1,,,,,,,,1,,,,,,,,,,,,,,,
+Adenine,,,,,-1,-1,,-1,-1,,,1,,,-1,,,,,,,1,,,,,,,-1,,,,,,,,,,,,,-1
+Adipate,,,,1,,,,-1,,,,,,,,,,,1,1,,,,,,,,,,-1,,,,,,,1,,,,,
+Alpha-ketoglutarate,,1,,,,,,,,,,,,,,1,,,,,,,,,,1,,,,,,,,1,1,,,,,,,1
+AMP,,-1,,,,-1,-1,-1,,1,1,1,1,,-1,,1,,,-1,,1,,-1,,,-1,1,,,,,,,,,-1,,,,-1,-1
+Citrate,,,,,,,,,1,,,,,1,,,,,-1,,,,,,,,1,,1,,,,,,,,,,,,,
+Isocitrate,,,,,1,,,1,1,,,,,1,,1,,1,-1,,,,1,,,1,,,,,,,,,1,,,,,,,
+CMP,,-1,,,,-1,-1,-1,,1,1,1,,,-1,,1,1,,,,1,,-1,,,-1,-1,-1,,,,,,,,-1,,,,-1,-1
+Cystathionine,,,,,,-1,,,,1,1,1,1,,-1,,1,1,,,,1,,-1,,,,-1,,,-1,,,1,,,-1,,,,,
+Cytidine,,,,,,-1,,-1,,1,1,1,,1,-1,,1,1,,,,1,,-1,,,-1,-1,-1,,,,,,,,-1,,,,,
+dCMP,,-1,,,-1,-1,-1,-1,-1,,,,,,-1,,1,,,,,1,,,,,-1,,-1,-1,,,,,,,-1,,,,-1,-1
+DHAP/G3P,,,,,,,,1,,,,,,,1,,,,,1,,,,1,1,1,,,,,,,1,1,1,,,,,,,
+Erythrose-4-phosphate,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+F1P/F6P/G1P/G6P,,1,,,,,,1,,,,,,,,,,,,,,,,,,1,1,,1,1,,,,,,,,,,-1,,1
+hexoses (HILIC neg),1,1,,,,1,1,1,,-1,-1,,,,1,,-1,,,,,-1,,,,,1,,1,1,,,,,,,1,,,,1,1
+Fumarate/Maleate/Alpha-ketoisovalerate,,,,,,,,-1,,1,1,1,,,,,1,1,,,,,,,,,,,,,,,,,,,,-1,,,-1,-1
+Glucuronate,,,,,1,1,,,,,,,-1,,1,,,-1,-1,,,,,1,1,1,,1,1,,,,,,,,,,,,,
+Glutathione oxidized,1,,,,,,,,,,,,,1,,1,,,-1,,,,1,,,,1,,,,,,,,1,,,,,,,
+Glutathione reduced,1,,,,,,-1,,,,1,,,1,,1,,1,-1,,,,,,,,,,,,,,1,1,1,,,,,,,
+GMP,,,,,,-1,-1,-1,,1,1,1,,,-1,,1,1,,,,1,,-1,,,-1,-1,,,,,,,,,-1,,,,,-1
+Guanosine,,,,,,-1,,,1,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Hippurate,,1,,,1,1,,1,1,,,-1,,,1,,,,,,,-1,,1,,,1,1,1,1,,1,,,,,1,,,,,1
+Hypoxanthine,,,,,,,,,-1,,,,1,,,,,,,,,,-1,,,,,,,,,,,,,,,,,,,
+Inosine,,1,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,1,,,-1,,,,,,,,,
+Kynurenine,-1,-1,,,,,,,,,-1,-1,,-1,,,,-1,1,,,,,,,,,-1,,,,,,,,,,,,,,
+Lactate,,,,,,,,1,1,,,-1,,1,,,,,-1,,,-1,,,,,,,,,,,,,1,,,,,,,
+Lactose,1,1,,,,1,1,1,1,,,,,,1,,,,,,,,1,,1,1,1,,1,1,,,,,,,1,1,,,1,1
+Malate,,,,,,,,,,1,1,,,,,1,,1,,,,,,,,,,,,,,,,,,,,,,,-1,-1
+NAD,1,,1,,,,-1,,1,1,1,,,1,,,,,-1,,,,,,,,,,,,,,,,,,-1,,,,,
+NADP,,,,,,,,,,,,,,,,,,,-1,,,,,,,,1,,,,,,,,,,,,,,,
+Oxalate,,-1,,,-1,,,-1,-1,,,1,,-1,,,,,1,,1,1,,,,,-1,,-1,-1,,,,,,,,,,,,-1
+Pantothenate,1,1,1,1,,,,,1,1,1,1,,1,,,1,1,,,,,,,,,,1,,,1,1,,,,,,,,,,1
+PEP,,,,,,-1,,,,,,,,,,1,,,,,,,,,,,,,,,,,,1,1,,,,,,,
+Ribose-5-P/Ribulose5-P,1,1,,,,,,1,1,,,,,1,,1,,1,,1,,,1,,,,1,,,,,,1,1,1,1,,,,,,
+Sorbitol,,1,,,1,1,1,1,1,-1,-1,-1,-1,,1,,-1,,,,,-1,,1,,,1,1,1,1,,1,,,,,,,,,,1
+Succinate/Methylmalonate,1,1,,,,,,,,,,,,,,,,,,,,-1,,,,,1,,,,,,,,,,,,,-1,,
+Sucrose,,1,,,,1,,1,1,,,,,,1,,,,,,,,,1,1,1,1,1,1,,,,,,,,1,1,,,,
+Thymine,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-1,-1,,,,,,1,,
+UMP,,-1,,,,-1,-1,-1,,1,1,1,1,,-1,,1,,,,,1,,-1,,,-1,,,,,,,,,,-1,,,,,
+UDP-galactose/UDP-glucose,,,1,,,,,,1,1,1,,,1,,,,1,-1,,,,,,,,,,,,,,,,,,-1,,,-1,,
+Uracil,1,1,,,,1,,1,,,,,,,1,,,,,,-1,-1,,,,,1,,1,1,,1,,-1,,,,,,,,1
+Urate,,1,,,1,1,,1,,,-1,-1,-1,,1,,-1,,,,,-1,,1,,,,1,,,,,,,,,,,,,,
+Uridine,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Xanthine,1,1,,-1,,1,,1,1,-1,-1,-1,,,1,,-1,,,,,-1,,,,,1,,1,1,,1,,,,,,,,,,1
+Taurocholate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,,
+Glycodeoxycholate/Glycochenodeoxycholate,,,,,,,,1,,,-1,,,,1,,-1,,,,,-1,,,,,1,,1,,,,,,,,1,,1,,,1
+Taurodeoxycholate/Taurochenodeoxycholate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Phosphocreatine,1,1,,,,,,,,,,,,,,1,,1,,,,,,,1,,,,1,1,,,,,,,,,-1,,,
+3-methyladipate/Pimelate,,,,,,,,-1,-1,1,,,,,,,,,1,,,,,,,-1,,,-1,-1,,,,,,,,,,,,
+6-phosphogluconate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Alpha-hydroxybutyrate,-1,-1,,,,-1,,-1,-1,1,,,,,,,,,1,,,,,,,-1,-1,,-1,-1,,,,,,,,,,,,-1
+2-hydroxyglutarate,,,1,1,-1,,,,,,,,,1,-1,,,,-1,,,,,,,,,,,,,,,1,,,-1,-1,,,,
+Inositol,-1,-1,-1,,,,,,,,,,,,,1,,,,,,,,,,,,,,,,-1,,,,1,,,,,,
+Malondialdehyde,,,,,,-1,-1,,1,,,,,,-1,,,,,,,,,,,,,,,,,,,1,1,,,-1,,,,
+Glycine,1,,,,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,
+Alanine,1,,,-1,1,,,,1,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Serine,,,,,,1,1,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,1,,,,,
+Threonine,1,1,,,,,,1,1,,,,,1,1,,,,,,,,,,1,1,1,,1,1,,,,,,,,,,,,
+Methionine,1,1,,,,1,,1,1,-1,-1,,,,1,,-1,,,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+Aspartate,,,,,,,,,,,,,,,,,,,1,,,,,,,-1,,,,,,,,,,,,,,,,
+Glutamate,,,,,,,,,,,,1,-1,,,,,,,,1,1,1,,,,,,,,,-1,,,,,,,,,,
+Asparagine,,,,,,,,,,,,,,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,-1,
+Glutamine,1,1,,,,,1,,,,,,,,1,,,,,,,-1,,,,,,,,,,,,,,-1,1,,,,,
+Histidine,1,1,,,1,1,1,1,1,-1,-1,,,,1,,-1,,,,,-1,,,,1,1,,1,1,,,-1,,,,,,,,,1
+Arginine,,,,,,1,,1,,,-1,-1,-1,,1,,-1,,,,,,,,,,,,,,,,,,,,1,,,,,
+Lysine,1,1,,-1,,1,1,1,1,-1,-1,,,,1,,-1,,,,,-1,,,,1,1,,1,1,,,,,,-1,1,,,,1,1
+Valine,1,1,,-1,1,,1,1,1,,,,,,1,,,,,,,-1,,,1,1,1,,1,1,,,,,,,1,,,,1,1
+Leucine,1,1,,,1,1,1,1,1,-1,,,,,1,,-1,,,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+Isoleucine,1,1,,,,,,1,1,,,,,,,,-1,,,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+Phenylalanine,1,1,,-1,1,1,,1,1,,,,,,1,,,,-1,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+Tyrosine,1,1,,,1,1,,1,1,,,,,,1,,,,,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+Tryptophan,1,1,,,1,1,,1,1,,,,,,1,,,,-1,,,-1,,,,,1,,1,1,,,,,,-1,,,,,,
+Proline,1,,,,,,-1,,,1,,,,,,1,,1,-1,,,,,,,,,,,,,,,,,,-1,,,,,
+Cis/Trans-hydroxyproline,,-1,,1,,,,,,,,,,,,,,,,,,1,,,,,,,,,,,,,,1,,,,,-1,
+Ornithine,,,,,,1,,1,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,1,,,,,
+Citrulline,,,,,1,1,,1,,,,,,,,,,,,,,,,,,,1,1,1,1,,,,,,,,,,,,
+Taurine,,,,1,,,,-1,,,1,1,,1,-1,1,,1,,,,,,,-1,,,,,-1,,,,,,,-1,,,,,
+5-HIAA,,,,,,,,,-1,,,,,-1,,,,,1,,,,,,,,,,-1,,,,,,,,1,,,,,
+Serotonin,,,,,,,,,,,,,,,,,,,1,,,,-1,,,,,,,,,1,,,,,,,,,,
+GABA,,-1,,,,,-1,-1,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,-1
+Acetylglycine,,-1,,,,-1,,-1,-1,1,,1,,,,,,,1,,,,,,,-1,-1,,-1,-1,,,1,,,,,,,,,
+Dimethylglycine,,1,,,,1,,1,,-1,-1,-1,,,,,-1,,,,,-1,,,,,1,,,,,,,,,,1,,,,,1
+Homocysteine,,,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+SDMA/ADMA,,1,,,1,1,,1,1,,-1,-1,,,1,,-1,,,,,-1,,,,,1,,1,1,,,,,,,,,,,,1
+NMMA,,1,,,1,,,1,1,,,-1,,,1,,,,,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+Allantoin,,1,,,1,1,,1,1,-1,-1,-1,,,1,,-1,,,,,-1,,,,,1,,,,,,,,,,,,,,,1
+Anthranilic acid,,,,,,,,,,-1,-1,-1,,-1,,,-1,,,,1,,,,,,,,,,-1,,,,,,1,,,,,
+Kynurenic acid,,1,,,1,1,,1,1,-1,-1,-1,-1,,1,,-1,,,,,-1,,,,,1,,1,1,,,,,,,1,,,,,1
+5-adenosylhomocysteine,,-1,,1,,-1,-1,-1,,1,1,1,1,1,-1,,1,1,-1,,,,,,,,,,-1,-1,,,,,,,-1,,,,-1,-1
+Carnosine,,1,,,,1,1,1,,-1,-1,,,,1,,-1,,,,,-1,,,,,1,,1,1,,,,,,,1,,,,,
+N-carbamoyl-beta-alanine,,,,,,,,,,,-1,-1,-1,,,,-1,,,,,,,,,,,,,,-1,,,,1,,,,,,,
+Thiamine,1,1,,,,,,1,1,,,,,1,1,,,1,-1,,,-1,,,1,1,1,,1,1,,,,,,,1,,,,1,
+Niacinamide,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Betaine,1,,-1,,,,,,,,,,,,,1,,,,,,-1,,,,,,,,1,,,,,,,,,,,,
+Choline,,,,,,,,,-1,,,,,,1,,,,,,,,,,,,,,,,,,,,,,1,,,,,
+Alpha-glycerophosphocholine,,,,,,,,1,,,,-1,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Acetylcholine,,,-1,,-1,-1,,,,,,,,,-1,,,,-1,,,,,,,,,,,,,,,,,,,,,,,
+Creatine,,,,,,,,,1,,,,,1,,,,1,-1,-1,,-1,-1,-1,,,,,1,1,,,,,,,,,-1,,,
+Creatinine,,1,,,1,1,,1,1,,-1,-1,,,1,,-1,,,,,-1,,,,,1,,1,1,,,,,,,,,,,,1
+Thyroxine,,,,,1,1,,1,1,,-1,-1,,,1,,-1,,,,,-1,,1,,,1,1,1,,,1,,,,,1,,,,,1
+Trimethylamine-N-oxide,,-1,,,,,,-1,-1,,,,,-1,,,,,1,,,1,,,,-1,-1,,-1,,,,,,,,,,,,,-1
+Hexoses (HILIC pos),,1,,,,1,1,1,,-1,-1,,,,1,,-1,,,,,-1,,,,,1,,1,1,,,,,,,1,,,,1,1
+Adenosine,,,,,,,,,,,-1,-1,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1
+Thymidine,,,,-1,,1,1,1,,-1,-1,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1
+Xanthosine,,,,,1,1,,1,1,,-1,-1,-1,,1,,-1,,,,-1,-1,,,,,1,1,1,,1,1,,-1,,,,,,,1,1
+2-deoxyadenosine,,-1,,-1,,,,,1,,,,,1,,,1,,1,,,,,,,,,,,,,,1,,,,,,,,,
+2-deoxycytidine,,,,,,,,,1,,,,,1,,,,,,-1,,-1,,-1,,,,,,,1,1,,,,,-1,,,,,
+cAMP,,-1,-1,,,,,-1,,,,,,,,,,,,,,,,,,,,,-1,-1,,,,,,,,,,,,
+Cotinine,-1,-1,,,,,,,,,,,,,,,,,1,,,,,,,-1,,,,,,,,,,,1,,,,,
+Pipecolic acid,,,,,,,,,,,,,,,,,,,1,,,1,,,,,,,,,,,,,,,,,1,,,
+Pyroglutamic acid,1,1,,,1,,,1,1,-1,-1,,,,1,,,,,,,-1,,,,1,1,,1,1,,,,,,,,,,,,1
+1-methylnicotinamide,,1,1,,1,,,1,1,-1,-1,-1,-1,,,,-1,,,,,,,,,,1,,,,,,,,1,,1,,,,1,1
+Butyrobetaine,1,,,,,,,,,,,,,,,1,,,-1,-1,-1,,-1,-1,,,,,,,,,,,,,-1,,,,,
+Putrescine,,,,,,,,-1,,,1,1,,,,,,,,,,,,,,,,,,-1,,-1,1,,,,,,-1,,,-1
+Methionine sulfoxide,,1,,,,,,1,,-1,-1,,,,1,1,-1,,,,,,,,,1,1,,,1,-1,,,,,,,,,,,
+Carnitine,1,1,,,,,,1,,,,,,,,1,-1,,,-1,-1,-1,-1,,,,,,1,1,,,,,,,,,,,,
+Acetylcarnitine,1,,,,,,,,,,,,,,,1,,,-1,,,,,,,,,,,,,,,,,,,,,,,
+Propionylcarnitine,,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,,,,,,,,
+Malonylcarnitine,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,1,-1,,,,,,,,,,,
+Butyrylcarnitine/Isobutyrylcarnitine,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-1,-1
+Valerylcarnitine/Isovalerylcarnitine/2-methylbutyroylcarnitine,,,,,,,,,,,,1,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Hexanoylcarnitine,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,,,,,-1,,,,,
+Heptanoylcarnitine,,,,1,,,,,-1,,,,,,,,,,1,,,,,,,-1,,,,,,,,,,,,,,,,
+Lauroylcarnitine,,,,,-1,-1,,,-1,,,,,,-1,,,,,-1,,,,-1,,,-1,,,,,,,,-1,,,,,,-1,
+Myristoylcarnitine,,,,,-1,-1,,,,,,,,,,,,,,-1,,,-1,-1,,,,,,,,,,,-1,-1,,,,,,
+Palmitoylcarnitine,,,,,-1,,,,-1,,,,,,,,,,,,,,,,,,,,,,,,-1,,-1,,,,,,,
+Stearoylcarnitine,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,-1,,-1,,,,,,,
+Oleylcarnitine,,1,,,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Arachidonyl carnitine,,-1,,,,-1,,-1,-1,,,,,,,,,,1,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,-1,
+Sarcosine,,-1,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,,
+Beta-alanine,,-1,,,,,,,1,,,,,1,,,,,-1,,,,,,,,,,,,,,,,,,-1,,,,,
+Anserine,,,,,,,1,1,,-1,-1,,,,1,,-1,,,,,-1,,,,,1,1,,,,,,,,,1,,,,,
+C14:0 LPC,,,,,-1,,,-1,-1,,,1,,,,,1,,,,,1,,,,,,,,,,,,,,,,,,,,
+C16:1 LPC,,,,,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+C16:0 LPC,,,,,,,,,,,,,,,,,,,,,,,,,-1,,1,,,,1,1,,,,,,,,,,
+C18:2 LPC,,,,,,,,,-1,,,,,,,,,,1,1,1,1,,,,,,,,,,-1,1,,,,1,,,,,-1
+C18:1 LPC,1,1,,,,1,,1,,,,,,,,,,,,,,,,,,,1,,,,,1,,,,,,,,,,
+C18:0 LPC,,,,,,,,,,,,,,,,,,,,,,,,,,,1,,,,1,,,,,,,,,,,
+C20:4 LPC,,,,,,1,,,,,,,,,,,,,,,,,,,,,,1,,,1,1,,,,,,,,,,
+C20:3 LPC,,,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,1,,,,,,,,,,,
+C22:6 LPC,1,,,,,1,,1,,,,,,,1,,,,,,,,,,,,1,,,,,,,,,,1,,,,,
+C16:0 LPE,,-1,,,,,,-1,,1,1,1,,,,,,,,,,,,,-1,-1,-1,,,,1,,,,,,,,,,,
+C18:1 LPE,,-1,,1,,,-1,-1,,1,1,,,,,,,,,,,,,,-1,-1,,,,,,,,,,,,,,,,
+C18:0 LPE,,-1,,,,,,-1,,1,1,1,,,,,1,,,,,,,,,,,,,,1,,,,,,,,,,,
+C20:4 LPE,,-1,,,,,1,-1,-1,,,,,,,,,,1,,,,-1,,,,,,,,,,,,-1,,,,,,,
+C22:6 LPE,,,,,,,,,-1,,,,,,,-1,,,,,,1,,,,-1,,,,,,,,,,,,,,,-1,
+C32:2 PC,,1,1,,,,-1,,1,1,1,1,1,1,-1,1,1,1,-1,,,,,,,1,,,,,,,,,,,,,,,,
+C32:1 PC,,,1,,-1,,-1,-1,,1,1,1,1,1,-1,1,1,1,,,,,,-1,,,,,,,,,,,,,,,,,,-1
+C32:0 PC,-1,-1,,,,-1,-1,-1,,1,,,,1,-1,,,,,,,,,,,-1,-1,,,,,,,,,,,,,,,-1
+C34:4 PC,,,,,,,,,,,1,1,1,,,1,1,1,,,,1,,,,,,,,,,,,,,,,,,,,
+C34:3 PC,,,,,,,,,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,
+C34:2 PC,,,1,,,,-1,-1,,1,1,,,1,-1,1,1,1,,,,,,,,,,,,,,,,,,,,,,,,
+C34:1 PC,,,1,,,,,-1,,1,1,1,1,,,,1,1,,,,,,,,,,,,,,,,,,,,,,,,-1
+C36:4 PC-A,,-1,,,,,,,-1,1,,,,,,,,,,1,,1,,,,-1,-1,,,-1,,,,,,,,,,,,
+C36:4 PC-B,-1,,,,,,,,-1,,,,,-1,,,,,,,,1,,,,-1,-1,,-1,-1,1,,,,,,,,,,,
+C36:3 PC,-1,-1,,,,,,,,,,,,,,,,,1,,,,,1,,,,,,-1,,,,,,,,,,,,
+C36:2 PC,,,,,,,-1,-1,,1,1,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,,,
+C36:1 PC,,-1,,,,,,-1,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+C38:6 PC,1,-1,,,,,,,-1,,,,,-1,,,,,1,,,,,,,-1,,,-1,-1,1,,,,-1,,,,,,,
+C38:5 PC,-1,-1,,,,,,,-1,,,,,-1,,,,,1,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,-1
+C38:4 PC,-1,-1,,,,,,-1,-1,,,,,,,,,,1,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,-1
+C38:2 PC,,,,,,,,,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,
+C40:6 PC,,-1,,1,,,,,-1,,,,,-1,,,,,,,1,1,,,,,-1,,-1,,,-1,,,,,1,,,,,
+C14:0 SM,,,,,,,,,1,,,,,1,,1,,,,,,,1,,,,,,,,,,,,,,,,,,,
+C16:1 SM,,,,,,,,,1,,,,,1,,1,,1,-1,,,,,,,,,,,,,,,,,,,,,,,
+C16:0 SM,,,,,,,,-1,,,,,,,,,,,,,,,,,,,,,,,,-1,,,,,,,,,,
+C18:2 SM,,-1,,,,,,-1,,,,,,,,,,,,,,,,,,,-1,,-1,,,,,,,,,,,,,
+C18:1 SM,,,,1,,,,,,,,,,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,-1
+C18:0 SM,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1,,
+C22:1 SM,,,1,,,,,,,,,,,,,,,,,,,1,,,,,-1,,,-1,,,,,,,,,,,,
+C22:0 SM,,,1,,,,,-1,,1,1,,,,,,,,,,-1,1,,,,,,,,,,,,,,,,,,,,
+C24:1 SM,,,,,,,,,,,,-1,,,,,,,,1,,1,1,1,,,,,,,,,,,,1,,,,,,
+C24:0 SM,,,,,,,,,,,,,,,,,,,,,,,1,,,1,,,,,,-1,,,,1,,,,,,
+C34:2 DAG,,-1,-1,,-1,-1,,-1,-1,,,1,,,-1,,,,,-1,,,,,,,,,,,,,,,,,-1,,,,,
+C34:1 DAG,,-1,,,,-1,-1,-1,,1,1,,,,-1,,,1,,,,,,,,,,,,,,,,,,,-1,,,,,
+C36:2 DAG,-1,-1,,,-1,-1,,-1,,,,,,,-1,,,,,,,1,,,,,,,-1,,,,,,,,-1,,,,,
+C36:1 DAG,,-1,,,-1,-1,,-1,,,,1,,,-1,,1,,,,,,,,,,,,,,,,,,,,-1,,,,,
+C14:0 CE,,,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+C16:1 CE,,,,,,1,,1,,-1,-1,-1,,,,,,,,,,-1,,,,,1,1,1,1,,1,,,,,1,,,,1,
+C16:0 CE,,1,,-1,,1,,1,,-1,-1,-1,-1,,1,,-1,,,,,-1,,,,,1,1,1,1,,1,,,,,1,,,-1,1,
+C18:3 CE,,,,-1,,1,,1,,-1,-1,-1,-1,,1,,-1,,,,,,,1,,,1,1,1,,,,,,,,1,,,,,
+C18:2 CE,1,1,,,,1,,1,,-1,-1,-1,-1,,1,,-1,,,,,-1,,,,,1,1,1,1,,,,,,,1,,,-1,,
+C18:1 CE,,1,,,,1,,1,,-1,-1,-1,-1,,,,-1,,,,,-1,,,,,1,1,1,1,,1,,,,,,,,-1,1,1
+C18:0 CE,,,-1,,,,,1,,,,-1,-1,,,,,,,,,,,,,,1,1,1,1,,,,,,,,,,,,
+C20:5 CE,,,,-1,1,1,,1,,-1,-1,-1,-1,,1,,-1,,,,,-1,,1,,,1,1,1,1,,,,,,,1,,,,,
+C20:4 CE,,1,,-1,1,1,,1,,-1,-1,-1,-1,,1,,-1,,,,,-1,,1,,,1,1,1,1,,1,,,,,1,,,-1,,
+C20:3 CE,,,,-1,,,1,1,,-1,-1,-1,,,1,,-1,,,,,,,1,,,1,,1,1,,,,,,,1,,,,,
+C22:6 CE,,,,,1,1,,1,,-1,-1,-1,-1,,1,,-1,,,1,,,,1,,,1,1,,,,,,,,,1,,,,,1
+C46:2 TAG,,,,,-1,-1,,-1,,,,1,1,,-1,,,,,-1,,,,-1,,,-1,,,,,,,,,,,,,,,
+C46:1 TAG,,,,,-1,-1,-1,-1,,1,1,1,1,,-1,,1,,,-1,,,,-1,,,-1,,,,,,,,,,-1,,,,,
+C46:0 TAG,,,,,,-1,,-1,,,,,,,,,,,,-1,,,,-1,,-1,-1,,,,,,,,,,,,,,,
+C48:3 TAG,-1,,,,-1,,,-1,,,,,,,-1,,,,,-1,,,,-1,,,,,,,,,,,,,,,,,,
+C48:2 TAG,,,,,-1,,,-1,,1,1,1,1,,-1,,1,1,,-1,,,,-1,,,,,,,,,,,,,-1,,,,,
+C48:1 TAG,,,,,,-1,-1,-1,,1,1,,,,-1,,1,,,-1,-1,,,-1,,,,,,,,,,,,,-1,,,,,
+C48:0 TAG,,,,,,-1,,-1,,,,,,,,,,,,-1,-1,,,-1,,-1,,,,,,,,,,,,,,,,
+C50:3 TAG,,,,,-1,,,-1,,,,,,,-1,,1,,,-1,,,,-1,,,-1,,,,,,,,,,,,,,,
+C50:2 TAG,,,,,-1,-1,-1,-1,,,1,,,,-1,,1,,,-1,,,,-1,,,,,,,,,,,,,-1,,,,,
+C50:1 TAG,,,,,,-1,-1,-1,,,1,,,,-1,,,,,-1,-1,,,-1,,,,,,,,,,,,,-1,,,,,
+C50:0 TAG,,,,,,-1,,-1,,,,,,,,,,,,-1,-1,,,,-1,-1,,,,,,,,,,,-1,,,,,
+C52:5 TAG,-1,-1,,,-1,,,-1,-1,,,,,-1,-1,-1,,,,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,
+C52:4 TAG,-1,-1,,,-1,,,-1,,,,,,,-1,-1,,,,,,1,,,,-1,-1,,-1,,,,,,,,,,,,,
+C52:3 TAG,,,,,-1,-1,-1,-1,,,,,,,-1,,,,,-1,,,,,,,-1,,,,,,,,,,,,,,,
+C52:2 TAG,,,,,,-1,-1,-1,,,,,,,-1,,,,,-1,,,,-1,,,-1,,,,,,,,,,-1,,,,,
+C52:1 TAG,-1,-1,,,,,,-1,,,,,,,-1,-1,,,,-1,-1,,,,-1,-1,,,,,,,,,,,-1,,1,,,
+C54:7 TAG,,-1,,,,,,-1,-1,,,,,-1,,-1,,-1,,,,1,,,,-1,-1,,,-1,,,,,-1,,,,1,,,
+C54:6 TAG,-1,-1,,,-1,,,-1,-1,,,,,-1,,-1,,,1,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,
+C54:5 TAG,-1,-1,,,,,,-1,-1,,,,,-1,,-1,,-1,1,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,
+C54:4 TAG,-1,-1,,,-1,,,-1,,,,,,,-1,-1,,,,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,
+C54:3 TAG,-1,-1,,,-1,,,-1,,,,,,,-1,-1,,,,,,,,,,,-1,,-1,-1,,,,,,,,,,-1,,
+C54:2 TAG,-1,-1,,,,,,-1,,,,,,,-1,-1,,,,,,,,,,,-1,,,,,,,,,,-1,,1,,,
+C54:1 TAG,-1,-1,,,,-1,,-1,,,,,,-1,,-1,,-1,,,,,,,,-1,-1,,,,,,,,,,-1,,1,,,
+C56:8 TAG,,-1,,,,,,-1,-1,,,,,-1,,-1,,-1,,,,1,,,,-1,-1,,-1,,,,,,-1,,,,,,,
+C56:7 TAG,-1,-1,,,,,,-1,-1,,,,,-1,,-1,,-1,1,,,1,,,,-1,-1,,-1,-1,,,,,,,,,,,,
+C56:6 TAG,-1,-1,,,,,,-1,-1,,,,,-1,,-1,,-1,1,,,1,,,,-1,-1,,-1,-1,,,,,-1,,,,,,,
+C56:5 TAG,-1,-1,,,,,,-1,-1,,,,,-1,-1,-1,,-1,,,,1,,,,-1,-1,,-1,-1,,-1,,,,,,,,,,
+C56:4 TAG,-1,-1,,,-1,,,-1,-1,,,,,,-1,-1,,,,,,1,,,,-1,-1,,-1,-1,,-1,,,,,,,,,,
+C56:3 TAG,-1,-1,,,-1,,,-1,,,,,,,,,,,,,,,,,,-1,-1,,,-1,,,,,,,,,,,,
+C56:2 TAG,-1,-1,,,,,,-1,,,,,,,,-1,,,,,,,,,,-1,-1,,,-1,,,,,,,-1,,,,,
+C58:8 TAG,-1,-1,,,,,,,-1,,,,,-1,,-1,,-1,1,1,,1,,,,-1,-1,,-1,-1,,,,,-1,,,,1,,,
+C58:7 TAG,-1,-1,,,,,,,-1,,,,,-1,,-1,,-1,1,,,1,,,,-1,-1,,-1,-1,,,,,-1,,,,1,,,
+C58:6 TAG,-1,-1,,,,,,-1,-1,,,,,-1,,-1,,-1,,,,1,,,,-1,-1,,-1,-1,,,,,-1,,,,,,,
diff --git a/src/python/EDA/pvalues<0.05.csv b/src/python/EDA/pvalues<0.05.csv
new file mode 100644
index 0000000..0b37589
--- /dev/null
+++ b/src/python/EDA/pvalues<0.05.csv
@@ -0,0 +1,226 @@
+,H3K4me0,H3K4me1,H3K4me2,H3K4ac1,H3K9me0K14ac0,H3K9me1K14ac0,H3K9me2K14ac0,H3K9me3K14ac0,H3K9ac1K14ac0,H3K9me0K14ac1,H3K9me1K14ac1,H3K9me2K14ac1,H3K9me3K14ac1,H3K9ac1K14ac1,H3K18ac0K23ac0,H3K18ac1K23ac0,H3K18ac0K23ac1,H3K18ac1K23ac1,H3K18ac0K23ub1,H3K27me0K36me0,H3K27me0K36me1,H3K27me0K36me2,H3K27me0K36me3,H3K27me1K36me0,H3K27me1K36me1,H3K27me1K36me2,H3K27me1K36me3,H3K27me2K36me0,H3K27me2K36me1,H3K27me2K36me2,H3K27me3K36me0,H3K27me3K36me1,H3K27ac1K36me0,H3K27ac1K36me1,H3K27ac1K36me2,H3K27ac1K36me3,H3.3K27me0K36me0,H3K56me0,H3K56me1,H3K79me0,H3K79me1,H3K79me2
+2-aminoadipate,,,,,,,,,0.0391,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+3-phosphoglycerate,,,,,,,,0.0027,,,,,,,,,,,,,,,,,,,,,,,,,0.0465,0.0107,0.0061,,,,,,,
+Alpha-glycerophosphate,,,0.0012,0.0002,,0.0437,,,,0.0077,0.0017,0.002,0.0127,,,,0.0003,0.0032,,,,0.0018,,,,,0.03,,,,,,,,,0.0132,0.0031,,0.0293,,0.0434,0.032
+4-pyridoxate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Aconitate,,0.0135,,,0.0153,,,0.0102,0.0016,,,,,0.0335,,,,,0.0075,,,,,,,,0.0484,,,,,,,,,,,,,,,
+Adenine,,,,,0.0193,0.0076,,0.0172,0.0005,,,0.0456,,,0.034,,,,,,,0.0021,,,,,,,0.0042,,,,,,,,,,,,,0.0313
+Adipate,,,,0.0342,,,,0.0372,,,,,,,,,,,0.016,0.0368,,,,,,,,,,0.0154,,,,,,,0.0007,,,,,
+Alpha-ketoglutarate,,0.01,,,,,,,,,,,,,,0.0239,,,,,,,,,,0.0419,,,,,,,,0.0415,0.0064,,,,,,,0.0352
+AMP,,0.0289,,,,0.0006,0.0008,0.0,,0.0006,0.0002,0.0011,0.0121,,0.0,,0.0001,,,0.035,,0.0222,,0.0043,,,0.0012,0.0409,,,,,,,,,0.0,,,,0.0415,0.0082
+Citrate,,,,,,,,,0.0173,,,,,0.029,,,,,0.0175,,,,,,,,0.0177,,0.0078,,,,,,,,,,,,,
+Isocitrate,,,,,0.039,,,0.0223,0.0149,,,,,0.0437,,0.0339,,0.043,0.013,,,,0.0427,,,0.0046,,,,,,,,,0.023,,,,,,,
+CMP,,0.0222,,,,0.0063,0.0002,0.0,,0.0012,0.0018,0.0248,,,0.0,,0.0004,0.049,,,,0.0024,,0.0181,,,0.0043,0.0175,0.0179,,,,,,,,0.0,,,,0.0189,0.0018
+Cystathionine,,,,,,0.0007,,,,0.0346,0.0024,0.0107,0.0065,,0.0389,,0.001,0.0007,,,,0.0284,,0.0184,,,,0.0077,,,0.0231,,,0.0153,,,0.0116,,,,,
+Cytidine,,,,,,0.0141,,0.0004,,0.0168,0.0084,0.0068,,0.0188,0.0044,,0.0002,0.0154,,,,0.0067,,0.0067,,,0.0008,0.0276,0.0075,,,,,,,,0.0053,,,,,
+dCMP,,0.0217,,,0.045,0.004,0.0189,0.0003,0.0193,,,,,,0.0005,,0.0018,,,,,0.0115,,,,,0.003,,0.0007,0.0348,,,,,,,0.0355,,,,0.0024,0.0
+DHAP/G3P,,,,,,,,0.0026,,,,,,,0.0343,,,,,0.0035,,,,0.0086,0.0299,0.0451,,,,,,,0.0437,0.025,0.004,,,,,,,
+Erythrose-4-phosphate,,0.0107,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+F1P/F6P/G1P/G6P,,0.0,,,,,,0.0015,,,,,,,,,,,,,,,,,,0.0022,0.0014,,0.0005,0.0075,,,,,,,,,,0.0494,,0.0396
+hexoses (HILIC neg),0.0351,0.0002,,,,0.0088,0.0026,0.0,,0.0002,0.0024,,,,0.0004,,0.0049,,,,,0.0009,,,,,0.0007,,0.0051,0.001,,,,,,,0.0069,,,,0.0254,0.006
+Fumarate/Maleate/Alpha-ketoisovalerate,,,,,,,,0.029,,0.0021,0.0104,0.0088,,,,,0.025,0.0348,,,,,,,,,,,,,,,,,,,,0.0234,,,0.0166,0.0296
+Glucuronate,,,,,0.0227,0.0215,,,,,,,0.002,,0.0425,,,0.0136,0.011,,,,,0.001,0.0077,0.0135,,0.0007,0.0021,,,,,,,,,,,,,
+Glutathione oxidized,0.0154,,,,,,,,,,,,,0.0203,,0.0462,,,0.0185,,,,0.0463,,,,0.0317,,,,,,,,0.0264,,,,,,,
+Glutathione reduced,0.0175,,,,,,0.0259,,,,0.0072,,,0.0023,,0.0018,,0.0073,0.0388,,,,,,,,,,,,,,0.0471,0.0392,0.0027,,,,,,,
+GMP,,,,,,0.0333,0.0005,0.0001,,0.001,0.0009,0.0088,,,0.0005,,0.0,0.0397,,,,0.031,,0.0084,,,0.0467,0.0333,,,,,,,,,0.0,,,,,0.0198
+Guanosine,,,,,,0.0189,,,0.0082,,,,,0.0023,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Hippurate,,0.0014,,,0.0365,0.0204,,0.0002,0.0235,,,0.0138,,,0.0015,,,,,,,0.0024,,0.0214,,,0.0046,0.0057,0.0016,0.0351,,0.0199,,,,,0.0074,,,,,0.0026
+Hypoxanthine,,,,,,,,,0.0324,,,,0.0363,,,,,,,,,,0.0316,,,,,,,,,,,,,,,,,,,
+Inosine,,0.0449,,,,,,,,,,,,,,,,,,,,,0.0333,,,,,,,0.0196,,,0.0256,,,,,,,,,
+Kynurenine,0.0389,0.025,,,,,,,,,0.0348,0.0098,,0.0146,,,,0.0318,0.0256,,,,,,,,,0.0353,,,,,,,,,,,,,,
+Lactate,,,,,,,,0.0455,0.0006,,,0.0313,,0.0065,,,,,0.0133,,,0.0121,,,,,,,,,,,,,0.0042,,,,,,,
+Lactose,0.0126,0.0001,,,,0.0,0.0051,0.0,0.0068,,,,,,0.0,,,,,,,,0.0247,,0.0192,0.0076,0.0,,0.0023,0.0056,,,,,,,0.0103,0.0036,,,0.0242,0.0197
+Malate,,,,,,,,,,0.0029,0.0207,,,,,0.0261,,0.0244,,,,,,,,,,,,,,,,,,,,,,,0.0098,0.033
+NAD,0.0275,,0.0458,,,,0.0064,,0.0444,0.0101,0.0348,,,0.0008,,,,,0.0066,,,,,,,,,,,,,,,,,,0.0156,,,,,
+NADP,,,,,,,,,,,,,,,,,,,0.0442,,,,,,,,0.0355,,,,,,,,,,,,,,,
+Oxalate,,0.0067,,,0.0168,,,0.0014,0.0002,,,0.0147,,0.0454,,,,,0.0006,,0.0409,0.0009,,,,,0.0073,,0.0192,0.0342,,,,,,,,,,,,0.0189
+Pantothenate,0.042,0.0,0.0002,0.0407,,,,,0.0034,0.0006,0.0002,0.0049,,0.0002,,,0.0,0.0001,,,,,,,,,,0.0003,,,0.0,0.0445,,,,,,,,,,0.0026
+PEP,,,,,,0.0364,,,,,,,,,,0.0413,,,,,,,,,,,,,,,,,,0.0216,0.02,,,,,,,
+Ribose-5-P/Ribulose5-P,0.0094,0.001,,,,,,0.0029,0.006,,,,,0.0097,,0.0419,,0.0261,,0.0233,,,0.0127,,,,0.0266,,,,,,0.027,0.0147,0.0011,0.0085,,,,,,
+Sorbitol,,0.0099,,,0.0228,0.0031,0.0499,0.0,0.0185,0.0369,0.0045,0.0135,0.0398,,0.0033,,0.0287,,,,,0.0,,0.0384,,,0.0001,0.0081,0.0079,0.0152,,0.0331,,,,,,,,,,0.0449
+Succinate/Methylmalonate,0.0436,0.0175,,,,,,,,,,,,,,,,,,,,0.0144,,,,,0.0283,,,,,,,,,,,,,0.0188,,
+Sucrose,,0.0243,,,,0.0466,,0.0001,0.0418,,,,,,0.0004,,,,,,,,,0.0215,0.0192,0.0338,0.0018,0.0364,0.0031,,,,,,,,0.0059,0.0072,,,,
+Thymine,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0124,0.0068,,,,,,0.0339,,
+UMP,,0.0156,,,,0.0023,0.0006,0.0,,0.0001,0.0002,0.0044,0.0214,,0.0004,,0.0001,,,,,0.0139,,0.0432,,,0.0052,,,,,,,,,,0.0,,,,,
+UDP-galactose/UDP-glucose,,,0.0286,,,,,,0.0491,0.0332,0.0317,,,0.0029,,,,0.0365,0.0048,,,,,,,,,,,,,,,,,,0.0184,,,0.02,,
+Uracil,0.0497,0.0168,,,,0.026,,0.0001,,,,,,,0.0041,,,,,,0.0449,0.0008,,,,,0.0033,,0.0046,0.0122,,0.0023,,0.0316,,,,,,,,0.0071
+Urate,,0.05,,,0.0011,0.0396,,0.0,,,0.023,0.0011,0.008,,0.0164,,0.0477,,,,,0.0201,,0.0144,,,,0.0284,,,,,,,,,,,,,,
+Uridine,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Xanthine,0.0035,0.0007,,0.0358,,0.0008,,0.0,0.0348,0.004,0.01,0.031,,,0.0043,,0.0035,,,,,0.0,,,,,0.0002,,0.0003,0.0003,,0.0107,,,,,,,,,,0.0068
+Taurocholate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0292,,,,,,,,,,,
+Glycodeoxycholate/Glycochenodeoxycholate,,,,,,,,0.0039,,,0.0257,,,,0.0056,,0.0276,,,,,0.038,,,,,0.0153,,0.0137,,,,,,,,0.0037,,0.0329,,,0.023
+Taurodeoxycholate/Taurochenodeoxycholate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Phosphocreatine,0.0149,0.0003,,,,,,,,,,,,,,0.0373,,0.0088,,,,,,,0.0498,,,,0.017,0.0283,,,,,,,,,0.0062,,,
+3-methyladipate/Pimelate,,,,,,,,0.0062,0.0159,0.0206,,,,,,,,,0.0042,,,,,,,0.0356,,,0.0343,0.0022,,,,,,,,,,,,
+6-phosphogluconate,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Alpha-hydroxybutyrate,0.0315,0.0001,,,,0.0058,,0.0013,0.0242,0.0288,,,,,,,,,0.0075,,,,,,,0.0065,0.0001,,0.0005,0.0221,,,,,,,,,,,,0.0075
+2-hydroxyglutarate,,,0.0032,0.0008,0.0171,,,,,,,,,0.0482,0.0127,,,,0.0038,,,,,,,,,,,,,,,0.0448,,,0.0296,0.0474,,,,
+Inositol,0.0422,0.0224,0.0148,,,,,,,,,,,,,0.0374,,,,,,,,,,,,,,,,0.0489,,,,0.041,,,,,,
+Malondialdehyde,,,,,,0.0029,0.0311,,0.0413,,,,,,0.0343,,,,,,,,,,,,,,,,,,,0.0201,0.0003,,,0.0336,,,,
+Glycine,0.0352,,,,,,,,,,,0.0337,,,,,,,,,,,,,,,,,,,,,,,,,0.017,,,,,
+Alanine,0.0164,,,0.0417,0.007,,,,0.0002,,,,,0.0102,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Serine,,,,,,0.0283,0.021,,,,,,,,0.0187,,,,,,,,,,,,,,,,,,,,,,0.0088,,,,,
+Threonine,0.001,0.001,,,,,,0.0022,0.0131,,,,,0.0226,0.0141,,,,,,,,,,0.0411,0.012,0.0389,,0.0288,0.0082,,,,,,,,,,,,
+Methionine,0.0079,0.0001,,,,0.0191,,0.0,0.003,0.0189,0.033,,,,0.002,,0.0152,,,,,0.0011,,,,0.032,0.0001,,0.0087,0.0011,,,,,,,,,,,,0.0069
+Aspartate,,,,,,,,,,,,,,,,,,,0.018,,,,,,,0.0344,,,,,,,,,,,,,,,,
+Glutamate,,,,,,,,,,,,0.0226,0.0388,,,,,,,,0.0058,0.0048,0.0043,,,,,,,,,0.0098,,,,,,,,,,
+Asparagine,,,,,,,,,,,,,,0.0477,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0244,
+Glutamine,0.0117,0.012,,,,,0.0031,,,,,,,,0.0307,,,,,,,0.0295,,,,,,,,,,,,,,0.016,0.0089,,,,,
+Histidine,0.0024,0.0007,,,0.0204,0.0011,0.025,0.0,0.0362,0.0074,0.0133,,,,0.0,,0.0474,,,,,0.0152,,,,0.0052,0.0008,,0.0058,0.0001,,,0.0475,,,,,,,,,0.0169
+Arginine,,,,,,0.0025,,0.0112,,,0.021,0.0237,0.0185,,0.0161,,0.0127,,,,,,,,,,,,,,,,,,,,0.0078,,,,,
+Lysine,0.019,0.0001,,0.0415,,0.0285,0.0152,0.0,0.0268,0.002,0.0091,,,,0.0002,,0.0323,,,,,0.0005,,,,0.0074,0.0003,,0.0029,0.0002,,,,,,0.0475,0.0104,,,,0.0102,0.0034
+Valine,0.0055,0.0003,,0.0476,0.0313,,0.0415,0.0,0.0063,,,,,,0.001,,,,,,,0.0021,,,0.0368,0.0128,0.0011,,0.0021,0.0008,,,,,,,0.026,,,,0.0278,0.012
+Leucine,0.0067,0.0001,,,0.0323,0.0122,0.048,0.0,0.0013,0.0242,,,,,0.0044,,0.0227,,,,,0.0003,,,,0.0148,0.0,,0.004,0.001,,,,,,,,,,,,0.0069
+Isoleucine,0.0421,0.0014,,,,,,0.0003,0.001,,,,,,,,0.0273,,,,,0.0013,,,,0.0332,0.0001,,0.0153,0.0187,,,,,,,,,,,,0.0235
+Phenylalanine,0.005,0.0001,,0.0429,0.0212,0.0322,,0.0,0.001,,,,,,0.0029,,,,0.0389,,,0.0007,,,,0.0051,0.0002,,0.0025,0.0004,,,,,,,,,,,,0.0161
+Tyrosine,0.0112,0.0003,,,0.0286,0.0257,,0.0,0.0004,,,,,,0.0101,,,,,,,0.0027,,,,0.0016,0.0001,,0.0017,0.0008,,,,,,,,,,,,0.0086
+Tryptophan,0.0035,0.0001,,,0.0193,0.0117,,0.0,0.0145,,,,,,0.001,,,,0.0247,,,0.0018,,,,,0.0004,,0.0082,0.0047,,,,,,0.0224,,,,,,
+Proline,0.0238,,,,,,0.0205,,,0.044,,,,,,0.0258,,0.0104,0.0465,,,,,,,,,,,,,,,,,,0.0044,,,,,
+Cis/Trans-hydroxyproline,,0.0381,,0.0352,,,,,,,,,,,,,,,,,,0.0307,,,,,,,,,,,,,,0.0267,,,,,0.03,
+Ornithine,,,,,,0.0039,,0.0097,,,,,,,0.002,,,,,,,,,,,,,,,,,,,,,,0.0465,,,,,
+Citrulline,,,,,0.0196,0.0323,,0.0016,,,,,,,,,,,,,,,,,,,0.0036,0.0228,0.0262,0.0175,,,,,,,,,,,,
+Taurine,,,,0.0093,,,,0.0177,,,0.0247,0.0094,,0.0371,0.0347,0.0482,,0.0324,,,,,,,0.0134,,,,,0.0185,,,,,,,0.0337,,,,,
+5-HIAA,,,,,,,,,0.0324,,,,,0.0208,,,,,0.0056,,,,,,,,,,0.0093,,,,,,,,0.0212,,,,,
+Serotonin,,,,,,,,,,,,,,,,,,,0.0154,,,,0.0129,,,,,,,,,0.0239,,,,,,,,,,
+GABA,,0.0064,,,,,0.0095,0.0053,,,,,,,,,,,,,,,,,,,,,,,,0.0027,,,,,,,,,,0.0275
+Acetylglycine,,0.006,,,,0.0014,,0.0013,0.012,0.0167,,0.0377,,,,,,,0.0484,,,,,,,0.0058,0.0,,0.0152,0.0138,,,0.0487,,,,,,,,,
+Dimethylglycine,,0.0308,,,,0.0064,,0.0002,,0.008,0.0139,0.0463,,,,,0.0039,,,,,0.0027,,,,,0.0039,,,,,,,,,,0.0323,,,,,0.015
+Homocysteine,,,0.0234,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+SDMA/ADMA,,0.0066,,,0.0075,0.0172,,0.0,0.0137,,0.0422,0.0273,,,0.0099,,0.0312,,,,,0.0069,,,,,0.012,,0.0182,0.0033,,,,,,,,,,,,0.0301
+NMMA,,0.0084,,,0.0153,,,0.0,0.0016,,,0.0262,,,0.0205,,,,,,,0.0079,,,,0.0059,0.0016,,0.0042,0.0005,,,,,,,,,,,,0.0139
+Allantoin,,0.0036,,,0.0134,0.002,,0.0,0.0408,0.0061,0.0036,0.0065,,,0.0073,,0.0023,,,,,0.0047,,,,,0.004,,,,,,,,,,,,,,,0.0023
+Anthranilic acid,,,,,,,,,,0.0037,0.0002,0.0061,,0.0019,,,0.0038,,,,0.0243,,,,,,,,,,0.0115,,,,,,0.0054,,,,,
+Kynurenic acid,,0.0126,,,0.0102,0.0019,,0.0,0.0052,0.0105,0.006,0.002,0.0153,,0.0147,,0.0007,,,,,0.0008,,,,,0.0013,,0.0173,0.0072,,,,,,,0.0344,,,,,0.0455
+5-adenosylhomocysteine,,0.0408,,0.0324,,0.0416,0.0026,0.0,,0.0025,0.0001,0.0022,0.0347,0.0131,0.0014,,0.0002,0.036,0.0418,,,,,,,,,,0.01,0.0295,,,,,,,0.0,,,,0.0016,0.0126
+Carnosine,,0.0005,,,,0.0024,0.0143,0.0,,0.0084,0.0101,,,,0.0045,,0.001,,,,,0.0016,,,,,0.002,,0.0127,0.0134,,,,,,,0.0084,,,,,
+N-carbamoyl-beta-alanine,,,,,,,,,,,0.0271,0.0318,0.0293,,,,0.0316,,,,,,,,,,,,,,0.05,,,,0.0001,,,,,,,
+Thiamine,0.001,0.0,,,,,,0.0014,0.01,,,,,0.0272,0.0261,,,0.0361,0.0136,,,0.0032,,,0.0349,0.0012,0.0002,,0.0046,0.0023,,,,,,,0.0445,,,,0.0177,
+Niacinamide,,,,,,,,0.0274,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Betaine,0.0017,,0.0076,,,,,,,,,,,,,0.0449,,,,,,0.0252,,,,,,,,0.035,,,,,,,,,,,,
+Choline,,,,,,,,,0.0253,,,,,,0.0037,,,,,,,,,,,,,,,,,,,,,,0.0073,,,,,
+Alpha-glycerophosphocholine,,,,,,,,0.0007,,,,0.0183,,,0.0449,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Acetylcholine,,,0.0058,,0.0459,0.0265,,,,,,,,,0.007,,,,0.0034,,,,,,,,,,,,,,,,,,,,,,,
+Creatine,,,,,,,,,0.0463,,,,,0.041,,,,0.0232,0.0048,0.038,,0.0084,0.0199,0.0492,,,,,0.0109,0.004,,,,,,,,,0.0233,,,
+Creatinine,,0.0034,,,0.0185,0.0377,,0.0,0.0109,,0.0219,0.0257,,,0.0117,,0.0458,,,,,0.0012,,,,,0.013,,0.0334,0.0083,,,,,,,,,,,,0.0341
+Thyroxine,,,,,0.0143,0.0028,,0.0001,0.0029,,0.0141,0.0288,,,0.0065,,0.0091,,,,,0.0181,,0.0461,,,0.0029,0.0361,0.0135,,,0.0215,,,,,0.0145,,,,,0.044
+Trimethylamine-N-oxide,,0.0013,,,,,,0.0054,0.0007,,,,,0.0353,,,,,0.0438,,,0.0486,,,,0.0241,0.0009,,0.0216,,,,,,,,,,,,,0.0297
+Hexoses (HILIC pos),,0.0005,,,,0.0139,0.0024,0.0,,0.001,0.0073,,,,0.0,,0.0207,,,,,0.0128,,,,,0.0018,,0.006,0.0018,,,,,,,0.0007,,,,0.0488,0.0038
+Adenosine,,,,,,,,,,,0.0072,0.0009,0.0305,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0218
+Thymidine,,,,0.0031,,0.0294,0.0016,0.0125,,0.0112,0.0104,0.0375,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0352
+Xanthosine,,,,,0.0002,0.0006,,0.0,0.0198,,0.0068,0.0001,0.0059,,0.0008,,0.0048,,,,0.0096,0.0001,,,,,0.0369,0.0291,0.0369,,0.0449,0.0003,,0.0415,,,,,,,0.0178,0.0021
+2-deoxyadenosine,,0.0439,,0.0077,,,,,0.0002,,,,,0.0207,,,0.0261,,0.0459,,,,,,,,,,,,,,0.0237,,,,,,,,,
+2-deoxycytidine,,,,,,,,,0.0004,,,,,0.0027,,,,,,0.0059,,0.0327,,0.0052,,,,,,,0.0147,0.0,,,,,0.0242,,,,,
+cAMP,,0.003,0.0151,,,,,0.0061,,,,,,,,,,,,,,,,,,,,,0.0085,0.0126,,,,,,,,,,,,
+Cotinine,0.0485,0.0307,,,,,,,,,,,,,,,,,0.007,,,,,,,0.0157,,,,,,,,,,,0.0354,,,,,
+Pipecolic acid,,,,,,,,,,,,,,,,,,,0.0111,,,0.0008,,,,,,,,,,,,,,,,,0.0199,,,
+Pyroglutamic acid,0.0473,0.0151,,,0.0498,,,0.0021,0.0018,0.0429,0.0469,,,,0.0282,,,,,,,0.0018,,,,0.0144,0.0007,,0.0029,0.005,,,,,,,,,,,,0.02
+1-methylnicotinamide,,0.0015,0.0251,,0.0335,,,0.0,0.018,0.0001,0.0,0.0,0.0071,,,,0.0,,,,,,,,,,0.002,,,,,,,,0.025,,0.0189,,,,0.0004,0.0005
+Butyrobetaine,0.0425,,,,,,,,,,,,,,,0.0169,,,0.027,0.0153,0.0273,,0.0462,0.0065,,,,,,,,,,,,,0.0056,,,,,
+Putrescine,,,,,,,,0.0151,,,0.031,0.0319,,,,,,,,,,,,,,,,,,0.0111,,0.0198,0.035,,,,,,0.0496,,,0.0311
+Methionine sulfoxide,,0.0043,,,,,,0.0008,,0.0021,0.0392,,,,0.0209,0.0432,0.0071,,,,,,,,,0.0203,0.0003,,,0.0002,0.0327,,,,,,,,,,,
+Carnitine,0.0025,0.0019,,,,,,0.0089,,,,,,,,0.0133,0.0305,,,0.0434,0.0138,0.0014,0.0278,,,,,,0.0037,0.0014,,,,,,,,,,,,
+Acetylcarnitine,0.0069,,,,,,,,,,,,,,,0.0226,,,0.0249,,,,,,,,,,,,,,,,,,,,,,,
+Propionylcarnitine,,,,,,,,,,,,,,,,,,,,,,,,,0.0115,,,,,,,,,,,,,,,,,
+Malonylcarnitine,,,,,,,,,,,,,,,,,,,,0.0207,,,,,,,,,,0.018,0.0049,,,,,,,,,,,
+Butyrylcarnitine/Isobutyrylcarnitine,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.046,0.0106
+Valerylcarnitine/Isovalerylcarnitine/2-methylbutyroylcarnitine,,,,,,,,,,,,0.0305,0.0135,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Hexanoylcarnitine,,,,,,,,,,,,,,,,,,,,,,,0.0237,,,,,,,,,,,,,,0.0242,,,,,
+Heptanoylcarnitine,,,,0.0057,,,,,0.0392,,,,,,,,,,0.0303,,,,,,,0.0072,,,,,,,,,,,,,,,,
+Lauroylcarnitine,,,,,0.0042,0.0061,,,0.0459,,,,,,0.0381,,,,,0.0155,,,,0.0109,,,0.0396,,,,,,,,0.048,,,,,,0.0389,
+Myristoylcarnitine,,,,,0.0161,0.0201,,,,,,,,,,,,,,0.0267,,,0.0162,0.0376,,,,,,,,,,,0.0068,0.0285,,,,,,
+Palmitoylcarnitine,,,,,0.027,,,,0.0403,,,,,,,,,,,,,,,,,,,,,,,,0.0496,,0.0066,,,,,,,
+Stearoylcarnitine,,0.0481,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0326,,0.0091,,,,,,,
+Oleylcarnitine,,0.0037,,,0.0262,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+Arachidonyl carnitine,,0.0006,,,,0.0396,,0.0208,0.0076,,,,,,,,,,0.0176,,,0.0177,,,,0.0135,0.0095,,0.0379,0.0157,,,,,,,,,,,0.0063,
+Sarcosine,,0.0194,0.0054,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0345,,,,,,,,,,,
+Beta-alanine,,0.0367,,,,,,,0.049,,,,,0.0212,,,,,0.0087,,,,,,,,,,,,,,,,,,0.0047,,,,,
+Anserine,,,,,,,0.0108,0.0015,,0.0348,0.0287,,,,0.0266,,0.0052,,,,,0.0103,,,,,0.0481,0.0407,,,,,,,,,0.0017,,,,,
+C14:0 LPC,,,,,0.0474,,,0.0337,0.0306,,,0.0122,,,,,0.0295,,,,,0.0086,,,,,,,,,,,,,,,,,,,,
+C16:1 LPC,,,,,,,,,,,,0.029,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+C16:0 LPC,,,,,,,,,,,,,,,,,,,,,,,,,0.0479,,0.0309,,,,0.0005,0.0011,,,,,,,,,,
+C18:2 LPC,,,,,,,,,0.0443,,,,,,,,,,0.0062,0.0248,0.0125,0.0312,,,,,,,,,,0.0148,0.027,,,,0.013,,,,,0.0181
+C18:1 LPC,0.0194,0.0432,,,,0.0153,,0.0163,,,,,,,,,,,,,,,,,,,0.0065,,,,,0.0031,,,,,,,,,,
+C18:0 LPC,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0352,,,,0.0101,,,,,,,,,,,
+C20:4 LPC,,,,,,0.0348,,,,,,,,,,,,,,,,,,,,,,0.0165,,,0.002,0.0025,,,,,,,,,,
+C20:3 LPC,,,,,,,,,,,,,,,,,,,,,,,,,,0.0022,,,,,0.0082,,,,,,,,,,,
+C22:6 LPC,0.0241,,,,,0.0152,,0.0089,,,,,,,0.0115,,,,,,,,,,,,0.049,,,,,,,,,,0.0019,,,,,
+C16:0 LPE,,0.0474,,,,,,0.0011,,0.0078,0.0016,0.0082,,,,,,,,,,,,,0.0311,0.0068,0.0347,,,,0.0136,,,,,,,,,,,
+C18:1 LPE,,0.0423,,0.0115,,,0.0267,0.0001,,0.0011,0.0045,,,,,,,,,,,,,,0.0458,0.026,,,,,,,,,,,,,,,,
+C18:0 LPE,,0.0014,,,,,,0.0009,,0.0004,0.0006,0.0444,,,,,0.0004,,,,,,,,,,,,,,0.0154,,,,,,,,,,,
+C20:4 LPE,,0.0001,,,,,0.0329,0.0468,0.0237,,,,,,,,,,0.0087,,,,0.0386,,,,,,,,,,,,0.0265,,,,,,,
+C22:6 LPE,,,,,,,,,0.0113,,,,,,,0.0424,,,,,,0.0102,,,,0.0412,,,,,,,,,,,,,,,0.0474,
+C32:2 PC,,0.0015,0.0299,,,,0.0073,,0.0051,0.0034,0.0003,0.0038,0.0115,0.0,0.0195,0.0002,0.0062,0.0,0.0069,,,,,,,0.0413,,,,,,,,,,,,,,,,
+C32:1 PC,,,0.0058,,0.0375,,0.0122,0.0002,,0.0,0.0,0.0,0.0016,0.0002,0.0079,0.002,0.0007,0.0001,,,,,,0.0281,,,,,,,,,,,,,,,,,,0.0407
+C32:0 PC,0.0092,0.0039,,,,0.0003,0.0014,0.0017,,0.0369,,,,0.0299,0.0004,,,,,,,,,,,0.0335,0.0017,,,,,,,,,,,,,,,0.0002
+C34:4 PC,,,,,,,,,,,0.0066,0.0028,0.0027,,,0.0049,0.0076,0.0005,,,,0.0238,,,,,,,,,,,,,,,,,,,,
+C34:3 PC,,,,,,,,,,,,,,,,0.0061,,,,,,,,,,,,,,,,,,,,,,,,,,
+C34:2 PC,,,0.0305,,,,0.0052,0.0066,,0.0026,0.0016,,,0.001,0.0437,0.0017,0.0224,0.0028,,,,,,,,,,,,,,,,,,,,,,,,
+C34:1 PC,,,0.0058,,,,,0.0047,,0.0009,0.0008,0.0102,0.0447,,,,0.0046,0.0082,,,,,,,,,,,,,,,,,,,,,,,,0.0217
+C36:4 PC-A,,0.0144,,,,,,,0.0016,0.0352,,,,,,,,,,0.0239,,0.0067,,,,0.0045,0.0054,,,0.003,,,,,,,,,,,,
+C36:4 PC-B,0.0394,,,,,,,,0.0008,,,,,0.0401,,,,,,,,0.0253,,,,0.0013,0.0028,,0.0413,0.0049,0.0344,,,,,,,,,,,
+C36:3 PC,0.0448,0.0342,,,,,,,,,,,,,,,,,0.0017,,,,,0.0369,,,,,,0.0086,,,,,,,,,,,,
+C36:2 PC,,,,,,,0.0327,0.0238,,0.0268,0.0418,,,,,,,,,,,,,,,,,,,0.0301,,,,,,,,,,,,
+C36:1 PC,,0.0262,,,,,,0.028,,,0.0351,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+C38:6 PC,0.0461,0.0311,,,,,,,0.0009,,,,,0.0133,,,,,0.0325,,,,,,,0.0171,,,0.0165,0.0074,0.0227,,,,0.046,,,,,,,
+C38:5 PC,0.0058,0.0062,,,,,,,0.0003,,,,,0.004,,,,,0.018,,,0.0057,,,,0.0129,0.0226,,0.0351,0.0129,,,,,,,,,,,,0.0252
+C38:4 PC,0.0014,0.005,,,,,,0.0253,0.0035,,,,,,,,,,0.0019,,,0.0009,,,,0.0082,0.0036,,0.0101,0.0084,,,,,,,,,,,,0.0452
+C38:2 PC,,,,,,,,,,,,,,,,0.029,,,,,,,,,,,,,,,,,,,,,,,,,,
+C40:6 PC,,0.0043,,0.0396,,,,,0.0014,,,,,0.0255,,,,,,,0.0492,0.0006,,,,,0.0246,,0.0229,,,0.0092,,,,,0.0133,,,,,
+C14:0 SM,,,,,,,,,0.0468,,,,,0.0245,,0.0157,,,,,,,0.0007,,,,,,,,,,,,,,,,,,,
+C16:1 SM,,,,,,,,,0.0053,,,,,0.003,,0.0007,,0.0127,0.0498,,,,,,,,,,,,,,,,,,,,,,,
+C16:0 SM,,,,,,,,0.0237,,,,,,,,,,,,,,,,,,,,,,,,0.0123,,,,,,,,,,
+C18:2 SM,,0.0009,,,,,,0.0002,,,,,,,,,,,,,,,,,,,0.0066,,0.019,,,,,,,,,,,,,
+C18:1 SM,,,,0.043,,,,,,,,,,0.0435,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0049
+C18:0 SM,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0.0074,,
+C22:1 SM,,,0.0124,,,,,,,,,,,,,,,,,,,0.0021,,,,,0.0093,,,0.0022,,,,,,,,,,,,
+C22:0 SM,,,0.043,,,,,0.0462,,0.033,0.0447,,,,,,,,,,0.0458,0.0306,,,,,,,,,,,,,,,,,,,,
+C24:1 SM,,,,,,,,,,,,0.0411,,,,,,,,0.0379,,0.0255,0.0005,0.0283,,,,,,,,,,,,0.009,,,,,,
+C24:0 SM,,,,,,,,,,,,,,,,,,,,,,,0.0007,,,0.0479,,,,,,0.0155,,,,0.0177,,,,,,
+C34:2 DAG,,0.0148,0.007,,0.0081,0.0169,,0.0047,0.0118,,,0.0208,,,0.0267,,,,,0.0318,,,,,,,,,,,,,,,,,0.033,,,,,
+C34:1 DAG,,0.0017,,,,0.0004,0.0097,0.0005,,0.0393,0.0424,,,,0.0042,,,0.0246,,,,,,,,,,,,,,,,,,,0.0,,,,,
+C36:2 DAG,0.0396,0.0009,,,0.0427,0.0095,,0.0004,,,,,,,0.0126,,,,,,,0.002,,,,,,,0.046,,,,,,,,0.0002,,,,,
+C36:1 DAG,,0.0001,,,0.0345,0.001,,0.0006,,,,0.0106,,,0.0433,,0.0468,,,,,,,,,,,,,,,,,,,,0.0004,,,,,
+C14:0 CE,,,0.002,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
+C16:1 CE,,,,,,0.0306,,0.0,,0.0035,0.0199,0.0019,,,,,,,,,,0.0138,,,,,0.0009,0.0107,0.0014,0.0107,,0.0236,,,,,0.032,,,,0.0374,
+C16:0 CE,,0.0205,,0.0409,,0.0086,,0.0,,0.0076,0.0122,0.0008,0.0422,,0.0218,,0.0238,,,,,0.0086,,,,,0.0072,0.0133,0.0007,0.0102,,0.0173,,,,,0.0227,,,0.0352,0.0355,
+C18:3 CE,,,,0.0159,,0.0377,,0.0,,0.0036,0.0112,0.0064,0.0366,,0.0426,,0.0304,,,,,,,0.0479,,,0.0097,0.0208,0.01,,,,,,,,0.0012,,,,,
+C18:2 CE,0.0464,0.0152,,,,0.003,,0.0,,0.0043,0.0103,0.0029,0.0401,,0.0073,,0.0077,,,,,0.0079,,,,,0.0009,0.0142,0.0013,0.008,,,,,,,0.0017,,,0.0183,,
+C18:1 CE,,0.0186,,,,0.0072,,0.0,,0.0048,0.0076,0.0003,0.0175,,,,0.0128,,,,,0.0168,,,,,0.0003,0.0428,0.0078,0.011,,0.0147,,,,,,,,0.0239,0.0072,0.0137
+C18:0 CE,,,0.0448,,,,,0.0433,,,,0.0079,0.0247,,,,,,,,,,,,,,0.0472,0.0408,0.0074,0.0384,,,,,,,,,,,,
+C20:5 CE,,,,0.0388,0.0325,0.0105,,0.0,,0.001,0.0001,0.0,0.0041,,0.008,,0.0008,,,,,0.0078,,0.0066,,,0.0036,0.0067,0.0046,0.0496,,,,,,,0.0011,,,,,
+C20:4 CE,,0.0228,,0.0304,0.0165,0.0014,,0.0,,0.0098,0.0086,0.0015,0.0143,,0.004,,0.0074,,,,,0.0009,,0.0314,,,0.0004,0.01,0.0015,0.0122,,0.025,,,,,0.0012,,,0.0101,,
+C20:3 CE,,,,0.0013,,,0.0376,0.0,,0.0001,0.0003,0.0004,,,0.0115,,0.0022,,,,,,,0.049,,,0.0035,,0.0172,0.0158,,,,,,,0.0138,,,,,
+C22:6 CE,,,,,0.005,0.0183,,0.0,,0.0194,0.0005,0.0,0.0008,,0.0087,,0.0129,,,0.0181,,,,0.0001,,,0.0034,0.0005,,,,,,,,,0.0196,,,,,0.0292
+C46:2 TAG,,,,,0.0006,0.0378,,0.0,,,,0.0118,0.0162,,0.0019,,,,,0.0001,,,,0.0007,,,0.0087,,,,,,,,,,,,,,,
+C46:1 TAG,,,,,0.0396,0.0264,0.0215,0.0,,0.0352,0.003,0.0223,0.046,,0.0011,,0.0285,,,0.001,,,,0.001,,,0.0179,,,,,,,,,,0.018,,,,,
+C46:0 TAG,,,,,,0.0193,,0.0002,,,,,,,,,,,,0.0207,,,,0.0095,,0.0265,0.0065,,,,,,,,,,,,,,,
+C48:3 TAG,0.0486,,,,0.0043,,,0.0005,,,,,,,0.0007,,,,,0.0007,,,,0.0045,,,,,,,,,,,,,,,,,,
+C48:2 TAG,,,,,0.012,,,0.0,,0.0426,0.0021,0.0066,0.0321,,0.0009,,0.0053,0.0361,,0.0014,,,,0.0063,,,,,,,,,,,,,0.0395,,,,,
+C48:1 TAG,,,,,,0.0146,0.0111,0.0001,,0.0187,0.0052,,,,0.0028,,0.025,,,0.0024,0.0477,,,0.0136,,,,,,,,,,,,,0.0045,,,,,
+C48:0 TAG,,,,,,0.0367,,0.0084,,,,,,,,,,,,0.006,0.0489,,,0.0117,,0.0463,,,,,,,,,,,,,,,,
+C50:3 TAG,,,,,0.0097,,,0.0,,,,,,,0.0005,,0.0244,,,0.0116,,,,0.017,,,0.0249,,,,,,,,,,,,,,,
+C50:2 TAG,,,,,0.0353,0.016,0.0105,0.0,,,0.0136,,,,0.0005,,0.0413,,,0.0019,,,,0.0126,,,,,,,,,,,,,0.0041,,,,,
+C50:1 TAG,,,,,,0.0151,0.0107,0.0011,,,0.0454,,,,0.0065,,,,,0.0077,0.0388,,,0.0185,,,,,,,,,,,,,0.0085,,,,,
+C50:0 TAG,,,,,,0.0394,,0.0119,,,,,,,,,,,,0.0136,0.0308,,,,0.0445,0.0234,,,,,,,,,,,0.0125,,,,,
+C52:5 TAG,0.0054,0.0076,,,0.0121,,,0.0006,0.0042,,,,,0.0123,0.018,0.0096,,,,,,0.0012,,,,0.0043,0.0,,0.0105,0.0082,,,,,,,,,,,,
+C52:4 TAG,0.005,0.0093,,,0.0122,,,0.0001,,,,,,,0.0019,0.0465,,,,,,0.0126,,,,0.0246,0.0009,,0.0489,,,,,,,,,,,,,
+C52:3 TAG,,,,,0.0116,0.0397,0.0363,0.0003,,,,,,,0.0026,,,,,0.0343,,,,,,,0.0388,,,,,,,,,,,,,,,
+C52:2 TAG,,,,,,0.0096,0.0056,0.0001,,,,,,,0.0011,,,,,0.018,,,,0.022,,,0.0252,,,,,,,,,,0.0089,,,,,
+C52:1 TAG,0.0231,0.0181,,,,,,0.0018,,,,,,,0.0388,0.0421,,,,0.0266,0.0175,,,,0.0482,0.0085,,,,,,,,,,,0.0093,,0.0411,,,
+C54:7 TAG,,0.0064,,,,,,0.0141,0.0014,,,,,0.0008,,0.0096,,0.0159,,,,0.0156,,,,0.0005,0.0011,,,0.0012,,,,,0.009,,,,0.0287,,,
+C54:6 TAG,0.0145,0.001,,,0.0339,,,0.0016,0.0002,,,,,0.003,,0.007,,,0.0325,,,0.0072,,,,0.0003,0.0,,0.0068,0.0012,,,,,,,,,,,,
+C54:5 TAG,0.0125,0.0068,,,,,,0.0071,0.032,,,,,0.0131,,0.0057,,0.0275,0.014,,,0.0021,,,,0.036,0.0001,,0.0092,0.0137,,,,,,,,,,,,
+C54:4 TAG,0.0015,0.0027,,,0.0379,,,0.0001,,,,,,,0.0047,0.0113,,,,,,0.0092,,,,0.0367,0.0001,,0.0129,0.0098,,,,,,,,,,,,
+C54:3 TAG,0.0267,0.025,,,0.0481,,,0.0017,,,,,,,0.0142,0.0476,,,,,,,,,,,0.0073,,0.0418,0.0352,,,,,,,,,,0.0411,,
+C54:2 TAG,0.0159,0.0082,,,,,,0.0005,,,,,,,0.0283,0.0298,,,,,,,,,,,0.0094,,,,,,,,,,0.0416,,0.0341,,,
+C54:1 TAG,0.0092,0.0004,,,,0.0402,,0.0119,,,,,,0.0442,,0.0016,,0.0346,,,,,,,,0.0255,0.016,,,,,,,,,,0.0153,,0.0177,,,
+C56:8 TAG,,0.0009,,,,,,0.0025,0.0001,,,,,0.001,,0.0042,,0.012,,,,0.0306,,,,0.0025,0.0086,,0.0308,,,,,,0.0209,,,,,,,
+C56:7 TAG,0.0051,0.0004,,,,,,0.0384,0.0004,,,,,0.0013,,0.0109,,0.0143,0.0289,,,0.0122,,,,0.0294,0.0004,,0.0055,0.0072,,,,,,,,,,,,
+C56:6 TAG,0.0017,0.0004,,,,,,0.0064,0.0002,,,,,0.0003,,0.0012,,0.0024,0.0263,,,0.0016,,,,0.0011,0.0008,,0.0044,0.0147,,,,,0.0166,,,,,,,
+C56:5 TAG,0.0014,0.0008,,,,,,0.0012,0.0004,,,,,0.0012,0.0343,0.0049,,0.0219,,,,0.0008,,,,0.0039,0.0002,,0.0007,0.0022,,0.0272,,,,,,,,,,
+C56:4 TAG,0.0015,0.0027,,,0.0165,,,0.0001,0.0446,,,,,,0.0109,0.0205,,,,,,0.0013,,,,0.0116,0.0,,0.0015,0.0015,,0.0202,,,,,,,,,,
+C56:3 TAG,0.0155,0.0056,,,0.0305,,,0.002,,,,,,,,,,,,,,,,,,0.0093,0.0005,,,0.0248,,,,,,,,,,,,
+C56:2 TAG,0.0132,0.0008,,,,,,0.0015,,,,,,,,0.0164,,,,,,,,,,0.0109,0.0009,,,0.0156,,,,,,,0.0232,,,,,
+C58:8 TAG,0.0494,0.001,,,,,,,0.0018,,,,,0.0004,,0.0137,,0.0082,0.0158,0.0493,,0.003,,,,0.0176,0.0022,,0.0124,0.0029,,,,,0.0473,,,,0.0385,,,
+C58:7 TAG,0.017,0.0031,,,,,,,0.0026,,,,,0.0005,,0.0068,,0.0104,0.0215,,,0.008,,,,0.0264,0.0038,,0.0365,0.0161,,,,,0.0453,,,,0.0205,,,
+C58:6 TAG,0.0085,0.0004,,,,,,0.0068,0.0003,,,,,0.0006,,0.0054,,0.0181,,,,0.0056,,,,0.0031,0.0005,,0.0125,0.0037,,,,,0.032,,,,,,,

From 78b59cdaf9b3d5904f7919a0aaa17acf700a69ad Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Fri, 15 Jan 2021 17:05:22 -0500
Subject: [PATCH 15/18] edit linear regression, add lasso

---
 src/python/EDA/LASSO.ipynb             | 431 ++++++++++++++++++-----
 src/python/EDA/linear regression.ipynb | 468 +++++++------------------
 2 files changed, 468 insertions(+), 431 deletions(-)

diff --git a/src/python/EDA/LASSO.ipynb b/src/python/EDA/LASSO.ipynb
index bfd085a..a843fd5 100644
--- a/src/python/EDA/LASSO.ipynb
+++ b/src/python/EDA/LASSO.ipynb
@@ -20,6 +20,7 @@
     "from yellowbrick.regressor import AlphaSelection\n",
     "from yellowbrick.regressor.alphas import alphas\n",
     "\n",
+    "\n",
     "\n"
    ]
   },
@@ -27,120 +28,376 @@
    "cell_type": "code",
    "execution_count": 2,
    "metadata": {},
+   "outputs": [],
+   "source": [
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "MET = merge_tb.iloc[:,1:226]\n",
+    "GCP = merge_tb.iloc[:,227:269]\n",
+    "\n",
+    "GCP = np.nan_to_num(GCP, nan=0)\n",
+    "MET = np.nan_to_num(MET, nan=0)\n",
+    "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
+    "# df_Xtrain = pd.DataFrame(Xtrain)\n",
+    "# df_Ytrain = pd.DataFrame(Ytrain)\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[0.15690549625435365, 0.1568768009563384, 0.1565983665118773, 0.15455604403226686, 0.15037133539544123, 0.15243451117552742, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466]\n",
+      "0.01\n"
+     ]
+    }
+   ],
+   "source": [
+    "## GCP_to_MET\n",
+    "\n",
+    "# Tuning the alpha\n",
+    "alphas = [10**-6, 10**-5,10**-4,10**-3,10**-2,10**-1,1,2,3,4,5,6,7,8,9,10]\n",
+    "mdl = list()\n",
+    "error = list()\n",
+    "for i,a in enumerate(alphas):\n",
+    "    x=linear_model.Lasso(alpha=a).fit(Xtrain, Ytrain)\n",
+    "#     print(x)\n",
+    "    mdl.append(x)\n",
+    "    ypred = mdl[i].predict(Xtest)\n",
+    "#     print(ypred)\n",
+    "    error.append(mean_squared_error(ypred,Ytest))\n",
+    "print(error)\n",
+    "minmse_index = error.index(min(error))\n",
+    "best_alpha = alphas[minmse_index]\n",
+    "print(best_alpha)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "           0         1         2         3         4         5         6   \\\n",
-      "0    0.024045  0.188199  0.675553  0.262296 -0.004142 -0.115229  0.084376   \n",
-      "1   -0.097078 -0.157050 -0.224470  0.069887 -0.666851 -0.274659  0.297153   \n",
-      "2   -0.013619  0.142626  0.808153  0.088745  0.323300 -0.194603 -0.181593   \n",
-      "3   -0.113688 -0.867921  0.262414 -0.515059 -0.715857 -0.489771  0.429724   \n",
-      "4    0.083515 -0.081834  0.252509  0.816542  0.162376  0.000064 -0.136875   \n",
-      "..        ...       ...       ...       ...       ...       ...       ...   \n",
-      "599  0.151816 -0.315067 -0.648378  0.193388  0.359878 -0.053571  0.250489   \n",
-      "600  0.104364  0.441337 -0.802840  0.000000 -0.074239 -0.069448  0.489005   \n",
-      "601 -0.062003  0.391046  0.830222  0.240985  0.415098 -0.286115 -0.503596   \n",
-      "602  0.026296  0.433020 -0.152342  0.000000  0.523850  0.187276 -0.151856   \n",
-      "603  0.189941  0.250454  0.351840  0.056213 -0.278875  0.217273  0.428281   \n",
+      "225\n",
+      "42\n"
+     ]
+    }
+   ],
+   "source": [
+    "GCP2MET_models = []\n",
+    "for i in range(Ytrain.shape[1]):\n",
+    "    mdl_G2M =linear_model.Lasso(alpha=best_alpha).fit(Xtrain, Ytrain[:, i])\n",
+    "    GCP2MET_models.append(mdl_G2M)\n",
+    "print(len(GCP2MET_models))\n",
+    "\n",
+    "\n",
+    "MET2GCP_models = []\n",
+    "\n",
+    "for j in range(Xtrain.shape[1]):\n",
+    "    mdl_M2G = linear_model.Lasso(alpha=best_alpha).fit(Ytrain, Xtrain[:,j])\n",
+    "    MET2GCP_models.append(mdl_M2G)\n",
+    "print(len(MET2GCP_models))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "     GCP2MET_models\n",
+      "0          0.101491\n",
+      "1          0.104198\n",
+      "2          0.212115\n",
+      "3          0.117747\n",
+      "4          0.096323\n",
+      "..              ...\n",
+      "220        0.155878\n",
+      "221        0.169268\n",
+      "222        0.257659\n",
+      "223        0.326099\n",
+      "224        0.258227\n",
       "\n",
-      "           7         8         9   ...        32        33        34  \\\n",
-      "0   -0.052258  0.447639  0.016134  ...  0.137631  0.000000 -0.603699   \n",
-      "1    0.105155 -0.567466 -0.809061  ...  0.197616  0.389500  0.467478   \n",
-      "2   -0.214432  1.043308  0.601490  ...  0.412057  0.054479  1.171037   \n",
-      "3    0.286528 -0.789335 -1.151862  ... -0.461491  0.057651  0.207343   \n",
-      "4   -0.191180 -0.088426  0.071387  ...  0.614286  0.211648  0.224663   \n",
-      "..        ...       ...       ...  ...       ...       ...       ...   \n",
-      "599 -0.128719  0.462128  0.204293  ... -0.031170 -0.644442 -0.627305   \n",
-      "600  0.975963 -1.240632 -0.499932  ... -1.154116  0.000000 -0.141234   \n",
-      "601  0.269331  0.694784  0.747404  ...  1.509050  2.210702  2.513757   \n",
-      "602  0.011697 -0.472222  0.248987  ... -0.895285 -2.053851 -0.708459   \n",
-      "603  0.704271 -0.541532 -0.556178  ... -0.514845  0.013471  0.345506   \n",
+      "[225 rows x 1 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "def evaluate_models(models, Xtest, Ytest):\n",
+    "    \"\"\"\n",
+    "    evaluate_models returns results from the model predictions, including the pearson\n",
+    "    correlation coefficient, p-Values, and MSE.\n",
+    "\n",
+    "    :param models:         A list of scikit-learn model objects.\n",
+    "    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.\n",
+    "    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.\n",
+    "    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.\n",
+    "    \n",
+    "    \"\"\"\n",
+    "    \n",
+    "    predictions = []\n",
+    "    rValue = list()\n",
+    "    pValue = list()\n",
+    "    MSE = list()\n",
+    "\n",
+    "    for i in range(len(models)):\n",
+    "        mdl = models[i]\n",
+    "        Ypred = mdl.predict(Xtest)\n",
+    "        predictions.append(Ypred)   \n",
+    "        r, pvalue = pearsonr(Ypred, Ytest[:, i])\n",
+    "        rValue.append(r)\n",
+    "        pValue.append(pvalue)\n",
+    "        mse = mean_squared_error(Ypred, Ytest[:, i])\n",
+    "        MSE.append(mse)\n",
+    "#     print(Ypred)\n",
+    "#     print(Xtest)\n",
+    "    df_MSE = pd.DataFrame(MSE)\n",
+    "    df_pValue = pd.DataFrame(pValue)\n",
+    "    df_rValue = pd.DataFrame(rValue)\n",
+    "    \n",
+    "    return df_MSE, df_pValue, df_rValue\n",
+    "\n",
+    "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "mse1.columns = [\"GCP2MET_models\"]\n",
+    "print(mse1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "           0         1         2         3         4         5         6    \\\n",
+      "mse1  0.089575  0.094861  0.296596  0.100531  0.090906  0.129799  0.042273   \n",
+      "mse2  0.106462  0.099635  0.302412  0.120697  0.094360  0.142247  0.036579   \n",
+      "mse3  0.093020  0.096180  0.252817  0.121182  0.085328  0.131163  0.037862   \n",
       "\n",
-      "           35        36        37        38        39        40        41  \n",
-      "0   -0.667995  0.316746 -0.029695  0.000000  0.000191 -0.168218 -0.000251  \n",
-      "1    0.611950  0.354570 -0.182066  0.000000 -0.208689 -0.194650 -0.138971  \n",
-      "2    1.398423 -1.077949 -0.160534  0.000000  0.022644 -0.133896  0.268145  \n",
-      "3    0.904496  0.527108  0.017963 -0.042088 -0.151146 -0.274399 -0.637427  \n",
-      "4    1.166488  0.115585 -0.074791 -0.133634  0.019775 -0.192592  0.295620  \n",
-      "..        ...       ...       ...       ...       ...       ...       ...  \n",
-      "599 -0.492813 -0.189030 -0.121792  0.000000 -0.070342 -0.514645 -0.923504  \n",
-      "600 -0.090101  0.107387  0.298188  0.245337  0.301274  0.638392  0.971973  \n",
-      "601  2.349932  0.673580  0.020718  0.043830 -0.072263  0.244126  0.383435  \n",
-      "602 -0.883196 -0.641112  0.160654  0.000000  0.241441 -0.846828 -4.534240  \n",
-      "603  1.790447  0.125257  0.167975 -0.121523  0.080734  0.507183  1.247483  \n",
+      "           7         8         9    ...       215       216       217  \\\n",
+      "mse1  0.071508  0.218492  0.097096  ...  0.134649  0.193515  0.180864   \n",
+      "mse2  0.065053  0.267308  0.107793  ...  0.096789  0.184076  0.178244   \n",
+      "mse3  0.064426  0.180017  0.092881  ...  0.117294  0.195196  0.173290   \n",
       "\n",
-      "[604 rows x 42 columns]\n",
-      "0      5.576498\n",
-      "1      6.321703\n",
-      "2      5.670336\n",
-      "3      6.116715\n",
-      "4      5.461830\n",
-      "         ...   \n",
-      "599    5.583143\n",
-      "600    5.810373\n",
-      "601    6.119355\n",
-      "602    5.716324\n",
-      "603    6.041780\n",
-      "Name: 0, Length: 604, dtype: float64\n"
+      "           218       219       220       221       222       223       224  \n",
+      "mse1  0.205080  0.156296  0.124726  0.163350  0.278675  0.328726  0.269641  \n",
+      "mse2  0.231610  0.180965  0.152861  0.181191  0.285273  0.363526  0.272564  \n",
+      "mse3  0.239074  0.188212  0.158302  0.190638  0.272416  0.310359  0.237598  \n",
+      "\n",
+      "[3 rows x 225 columns]\n"
      ]
     }
    ],
    "source": [
-    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
-    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
-    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
-    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
-    "MET = merge_tb.iloc[:,1:226]\n",
-    "GCP = merge_tb.iloc[:,227:269]\n",
+    "kf = KFold(n_splits=3)\n",
     "\n",
-    "GCP = np.nan_to_num(GCP, nan=0)\n",
-    "MET = np.nan_to_num(MET, nan=0)\n",
-    "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
-    "df_Xtrain = pd.DataFrame(Xtrain)\n",
-    "df_Ytrain = pd.DataFrame(Ytrain)\n",
-    "print(df_Xtrain)\n",
-    "print(df_Ytrain[0])"
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse_result = pd.DataFrame()\n",
+    "pvalue_result = pd.DataFrame()\n",
+    "rvalue_result = pd.DataFrame()\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "#     print(\"TRAIN:\", train_index, \"TEST:\", test_index)\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_GCP2MET_models = []\n",
+    "    final_metrics = []\n",
+    "    for i in range(y_train.shape[1]):\n",
+    "        mdl_G2M = linear_model.Lasso(alpha=best_alpha).fit(X_train, y_train[:, i])\n",
+    "        v_GCP2MET_models.append(mdl_G2M)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)\n",
+    "    mse_result = pd.concat([mse_result,df_MSE],axis = 1)\n",
+    "    pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "    rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "mse_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse_result = mse_result.T\n",
+    "print(mse_result)   "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 576x396 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "     GCP2MET_models  v_GCP2MET_models\n",
+      "0          0.101491          0.089575\n",
+      "1          0.104198          0.094861\n",
+      "2          0.212115          0.252817\n",
+      "3          0.117747          0.100531\n",
+      "4          0.096323          0.085328\n",
+      "..              ...               ...\n",
+      "220        0.155878          0.124726\n",
+      "221        0.169268          0.163350\n",
+      "222        0.257659          0.272416\n",
+      "223        0.326099          0.310359\n",
+      "224        0.258227          0.237598\n",
+      "\n",
+      "[225 rows x 2 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "minMSE = mse_result.idxmin()\n",
+    "# print(minMSE)\n",
+    "\n",
+    "mse_min = pd.DataFrame()\n",
+    "MSE_min = list()\n",
+    "for index in mse_result:\n",
+    "    v = mse_result[index][minMSE[index]]\n",
+    "    MSE_min.append(v)\n",
+    "#     print(v)\n",
+    "mse_min = pd.DataFrame(MSE_min)\n",
+    "mse_min.columns = [\"v_GCP2MET_models\"]\n",
+    "# print(mse_min)\n",
+    "raw = mse1.join(mse_min)\n",
+    "print(raw)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
     {
-     "data": {
-      "text/plain": [
-       "<matplotlib.axes._subplots.AxesSubplot at 0x7fdc95643df0>"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01)]\n"
+     ]
     }
    ],
    "source": [
-    "## GCP_to_MET\n",
+    "new_model = list()\n",
+    "for index, row in raw.iterrows():\n",
+    "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
+    "        \n",
+    "        new_model.append(GCP2MET_models[index])\n",
+    "    else:\n",
+    "        new_model.append(v_GCP2MET_models[index])\n",
+    "        \n",
+    "    \n",
+    "print(new_model)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            0         1         2         3         4         5         6   \\\n",
+      "mse1  0.175227  0.380132  0.588737  1.051244  0.255749  0.202275  0.181518   \n",
+      "mse2  0.084202  0.258606  0.237459  0.978266  0.177839  0.107370  0.138614   \n",
+      "mse3  0.091701  0.185900  0.319462  1.054341  0.194316  0.108792  0.159261   \n",
+      "\n",
+      "            7         8         9   ...        32        33        34  \\\n",
+      "mse1  0.315831  0.487928  0.406070  ...  0.837352  0.870477  0.683326   \n",
+      "mse2  0.226162  0.393376  0.260588  ...  1.080634  1.303954  0.837324   \n",
+      "mse3  0.236521  0.418744  0.288605  ...  0.933157  1.076697  0.992893   \n",
+      "\n",
+      "            35        36        37        38        39        40        41  \n",
+      "mse1  0.912046  0.376208  0.041114  1.344137  0.088397  0.240640  0.542718  \n",
+      "mse2  0.920801  0.435253  0.042624  2.027280  0.134786  0.118106  0.557401  \n",
+      "mse3  1.177404  0.395815  0.044395  1.224501  0.101151  0.195334  0.645212  \n",
+      "\n",
+      "[3 rows x 42 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "## MET TO GCP\n",
+    "mse2,p2,pearson2 = evaluate_models(MET2GCP_models, Ytest, Xtest)\n",
+    "mse2.columns = [\"MET2GCP_models\"]\n",
     "\n",
-    "alphas = np.logspace(10**-6, 1, 10)\n",
-    "scores = np.empty_like(alphas)\n",
+    "kf = KFold(n_splits=3)\n",
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse2_result = pd.DataFrame()\n",
+    "# pvalue_result = pd.DataFrame()\n",
+    "# rvalue_result = pd.DataFrame()\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_MET2GCP_models = []\n",
+    "    metrics = []\n",
+    "    for i in range(X_train.shape[1]):\n",
+    "        mdl_M2G = linear_model.Lasso(alpha=best_alpha).fit(y_train, X_train[:, i])\n",
+    "        v_MET2GCP_models.append(mdl_M2G)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_MET2GCP_models, y_test, X_test)\n",
+    "    mse2_result = pd.concat([mse2_result,df_MSE],axis = 1)\n",
+    "#     pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "#     rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "mse2_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse2_result = mse2_result.T\n",
+    "# print(mse2_result) "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01)]\n"
+     ]
+    }
+   ],
+   "source": [
+    "minMSE2 = mse2_result.idxmin()\n",
+    "# print(minMSE)\n",
     "\n",
-    "model = LassoCV(alphas=alphas)\n",
-    "visualizer = AlphaSelection(model)\n",
+    "mse2_min = pd.DataFrame()\n",
+    "MSE2_min = list()\n",
+    "for index in mse2_result:\n",
+    "    v = mse2_result[index][minMSE2[index]]\n",
+    "    MSE2_min.append(v)\n",
+    "#     print(v)\n",
+    "mse2_min = pd.DataFrame(MSE2_min)\n",
+    "mse2_min.columns = [\"v_GCP2MET_models\"]\n",
+    "# print(mse2_min)\n",
+    "raw2 = mse2.join(mse2_min)\n",
+    "# print(raw2)\n",
     "\n",
-    "visualizer.fit(df_Xtrain,df_Ytrain[0])\n",
-    "visualizer.show()"
+    "new_MET2GCP = list()\n",
+    "for index, row in raw.iterrows():\n",
+    "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
+    "        \n",
+    "        new_MET2GCP.append(GCP2MET_models[index])\n",
+    "    else:\n",
+    "        new_MET2GCP.append(v_GCP2MET_models[index])\n",
+    "        \n",
+    "    \n",
+    "print(new_MET2GCP)"
    ]
   },
   {
diff --git a/src/python/EDA/linear regression.ipynb b/src/python/EDA/linear regression.ipynb
index 4dc2540..f40c2ba 100644
--- a/src/python/EDA/linear regression.ipynb	
+++ b/src/python/EDA/linear regression.ipynb	
@@ -204,34 +204,30 @@
     "    df_pValue = pd.DataFrame(pValue)\n",
     "    df_rValue = pd.DataFrame(rValue)\n",
     "    \n",
-    "    return df_MSE, df_pValue, df_rValue\n",
-    "\n",
-    "mse1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
-    "\n",
-    "\n"
+    "    return df_MSE, df_pValue, df_rValue\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "            0\n",
-      "0    0.105660\n",
-      "1    0.113761\n",
-      "2    0.211453\n",
-      "3    0.124643\n",
-      "4    0.102915\n",
-      "..        ...\n",
-      "220  0.157474\n",
-      "221  0.174273\n",
-      "222  0.269746\n",
-      "223  0.353366\n",
-      "224  0.266817\n",
+      "     GCP2MET_models\n",
+      "0          0.105660\n",
+      "1          0.113761\n",
+      "2          0.211453\n",
+      "3          0.124643\n",
+      "4          0.102915\n",
+      "..              ...\n",
+      "220        0.157474\n",
+      "221        0.174273\n",
+      "222        0.269746\n",
+      "223        0.353366\n",
+      "224        0.266817\n",
       "\n",
       "[225 rows x 1 columns]\n"
      ]
@@ -239,6 +235,7 @@
    ],
    "source": [
     "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "mse1.columns = [\"GCP2MET_models\"]\n",
     "print(mse1)"
    ]
   },
@@ -310,7 +307,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -328,367 +325,147 @@
       "222    mse3\n",
       "223    mse3\n",
       "224    mse3\n",
-      "Length: 225, dtype: object\n",
-      "           0         1         2         3         4         5         6    \\\n",
-      "mse1  0.098891  0.094329  0.319502  0.113154  0.105149  0.133179  0.045786   \n",
-      "mse2  0.123628  0.103319  0.335725  0.139940  0.102402  0.140503  0.043725   \n",
-      "mse3  0.099345  0.103648  0.278150  0.128813  0.099365  0.136939  0.038375   \n",
-      "\n",
-      "           7         8         9    ...       215       216       217  \\\n",
-      "mse1  0.080428  0.250379  0.112139  ...  0.145670  0.202951  0.192299   \n",
-      "mse2  0.064761  0.253493  0.116281  ...  0.101652  0.203684  0.191712   \n",
-      "mse3  0.067909  0.191660  0.102278  ...  0.124050  0.197997  0.183160   \n",
-      "\n",
-      "           218       219       220       221       222       223       224  \n",
-      "mse1  0.224030  0.169372  0.142034  0.170940  0.298064  0.340335  0.290046  \n",
-      "mse2  0.250278  0.189576  0.166025  0.201022  0.316814  0.396047  0.300359  \n",
-      "mse3  0.250604  0.200674  0.176717  0.198773  0.277209  0.326478  0.239974  \n",
-      "\n",
-      "[3 rows x 225 columns]\n"
+      "Length: 225, dtype: object\n"
      ]
     }
    ],
    "source": [
     "minMSE = mse_result.idxmin()\n",
-    "print(minMSE)\n",
-    "\n",
-    "print(mse_result)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# pvalue_result.columns = [\"p1\",\"p2\",\"p3\"]\n",
-    "\n",
-    "# print(pvalue_result)"
+    "print(minMSE)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# rvalue_result.columns = [\"r1\",\"r2\",\"r3\"]\n",
-    "# print(rvalue_result)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
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-      "0.0943285422996137\n",
-      "0.31950231427523035\n",
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-      "0.10514939486950832\n",
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-      "0.08160102592060212\n",
-      "0.07635133906221078\n",
-      "0.0500481772403784\n",
-      "0.08908614782954417\n",
-      "0.10138001931068195\n",
-      "0.03176938892045923\n",
-      "0.027324265513848974\n",
-      "0.0557026539869544\n",
-      "0.11133928047566223\n",
-      "0.05295367321656632\n",
-      "0.14371848704473605\n",
-      "0.03534567681078277\n",
-      "0.036947040854912155\n",
-      "0.08677824627598008\n",
-      "0.13135153900091873\n",
-      "0.2632769510077481\n",
-      "0.1386593807216776\n",
-      "0.12397580823777024\n",
-      "0.07834275862351467\n",
-      "0.056242065761886964\n",
-      "0.08929602964500961\n",
-      "0.07406492412188777\n",
-      "0.10239146509167323\n",
-      "0.13111809128941898\n",
-      "0.09905079268814086\n",
-      "0.09361966812832985\n",
-      "0.13316975534732206\n",
-      "0.1429883929334547\n",
-      "0.11799012920711918\n",
-      "0.1364350870172269\n",
-      "0.1373462500807835\n",
-      "0.18528852746346577\n",
-      "0.09277607566251678\n",
-      "0.292468521032657\n",
-      "0.18365151014119657\n",
-      "0.22239314145102418\n",
-      "0.22583409253490344\n",
-      "0.16913946689009668\n",
-      "0.13989842830514998\n",
-      "0.1724677598910885\n",
-      "0.2416795620694873\n",
-      "0.1457513190437113\n",
-      "0.14270057853308427\n",
-      "0.1106358593635556\n",
-      "0.1112700945593258\n",
-      "0.18438576731780357\n",
-      "0.13838007652340148\n",
-      "0.14763905634389926\n",
-      "0.22012734102029255\n",
-      "0.14549211576313315\n",
-      "0.11996097124140248\n",
-      "0.15517824042441733\n",
-      "0.19653387574107706\n",
-      "0.14567037703663033\n",
-      "0.20295090227156848\n",
-      "0.19229872601627704\n",
-      "0.2240298195476465\n",
-      "0.1693718666882403\n",
-      "0.1420339055580221\n",
-      "0.17094045355982157\n",
-      "0.29806433806301974\n",
-      "0.3403347355125847\n",
-      "0.2900456588128333\n"
+      "     GCP2MET_models  v_GCP2MET_models\n",
+      "0          0.105660          0.098891\n",
+      "1          0.113761          0.094329\n",
+      "2          0.211453          0.278150\n",
+      "3          0.124643          0.113154\n",
+      "4          0.102915          0.099365\n",
+      "..              ...               ...\n",
+      "220        0.157474          0.142034\n",
+      "221        0.174273          0.170940\n",
+      "222        0.269746          0.277209\n",
+      "223        0.353366          0.326478\n",
+      "224        0.266817          0.239974\n",
+      "\n",
+      "[225 rows x 2 columns]\n"
      ]
     }
    ],
    "source": [
+    "mse_min = pd.DataFrame()\n",
+    "MSE_min = list()\n",
     "for index in mse_result:\n",
-    "    print(mse_result[index]['mse1'])"
+    "    v = mse_result[index][minMSE[index]]\n",
+    "    MSE_min.append(v)\n",
+    "#     print(v)\n",
+    "mse_min = pd.DataFrame(MSE_min)\n",
+    "mse_min.columns = [\"v_GCP2MET_models\"]\n",
+    "# print(mse_min)\n",
+    "raw = mse1.join(mse_min)\n",
+    "print(raw)\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "            0\n",
-      "0    0.098891\n",
-      "1    0.094329\n",
-      "2    0.278150\n",
-      "3    0.113154\n",
-      "4    0.099365\n",
-      "..        ...\n",
-      "220  0.142034\n",
-      "221  0.170940\n",
-      "222  0.277209\n",
-      "223  0.326478\n",
-      "224  0.239974\n",
-      "\n",
-      "[225 rows x 1 columns]\n"
+      "[LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression(), LinearRegression()]\n"
      ]
     }
    ],
    "source": [
-    "mse_min = pd.DataFrame()\n",
-    "MSE_min = list()\n",
-    "for index in mse_result:\n",
-    "    v = mse_result[index][minMSE[index]]\n",
-    "    MSE_min.append(v)\n",
-    "#     print(v)\n",
-    "mse_min = pd.DataFrame(MSE_min)\n",
-    "print(mse_min)\n"
+    "\n",
+    "new_GCP2MET = list()\n",
+    "for index, row in raw.iterrows():\n",
+    "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
+    "        \n",
+    "        new_GCP2MET.append(GCP2MET_models[index])\n",
+    "    else:\n",
+    "        new_GCP2MET.append(v_GCP2MET_models[index])\n",
+    "        \n",
+    "    \n",
+    "print(new_GCP2MET)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "     0GCP2MET_models  0v_GCP2MET_models\n",
-      "0           0.105660           0.098891\n",
-      "1           0.113761           0.094329\n",
-      "2           0.211453           0.278150\n",
-      "3           0.124643           0.113154\n",
-      "4           0.102915           0.099365\n",
-      "..               ...                ...\n",
-      "220         0.157474           0.142034\n",
-      "221         0.174273           0.170940\n",
-      "222         0.269746           0.277209\n",
-      "223         0.353366           0.326478\n",
-      "224         0.266817           0.239974\n",
+      "            0         1         2         3         4         5         6   \\\n",
+      "mse1  0.278417  0.602853  0.974677  2.441553  0.459369  0.340847  0.318485   \n",
+      "mse2  0.267023  0.550682  0.850470  2.371134  0.531666  0.377817  0.367990   \n",
+      "mse3  0.235952  0.705763  0.798577  2.282222  0.424247  0.345435  0.377377   \n",
       "\n",
-      "[225 rows x 2 columns]\n"
+      "            7         8         9   ...        32        33        34  \\\n",
+      "mse1  0.509803  1.173574  0.740704  ...  1.715578  1.983225  1.772992   \n",
+      "mse2  0.606396  1.081328  0.833995  ...  2.053370  2.572370  1.867790   \n",
+      "mse3  0.521812  0.861796  0.589929  ...  1.806748  2.627610  1.953604   \n",
+      "\n",
+      "            35        36        37        38        39        40        41  \n",
+      "mse1  1.707244  0.825451  0.078526  3.219407  0.189220  0.390186  1.148773  \n",
+      "mse2  2.054275  0.823895  0.086911  3.499662  0.262691  0.536727  1.569529  \n",
+      "mse3  2.180980  0.824251  0.091608  3.133288  0.193200  0.415433  1.396639  \n",
+      "\n",
+      "[3 rows x 42 columns]\n"
      ]
     }
    ],
    "source": [
-    "raw = mse1.join(mse_min, lsuffix='GCP2MET_models', rsuffix='v_GCP2MET_models')\n",
-    "print(raw)"
+    "## MET TO GCP\n",
+    "mse2,p2,pearson2 = evaluate_models(MET2GCP_models, Ytest, Xtest)\n",
+    "mse2.columns = [\"MET2GCP_models\"]\n",
+    "\n",
+    "kf = KFold(n_splits=3)\n",
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse2_result = pd.DataFrame()\n",
+    "# pvalue_result = pd.DataFrame()\n",
+    "# rvalue_result = pd.DataFrame()\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_MET2GCP_models = []\n",
+    "    metrics = []\n",
+    "    for i in range(X_train.shape[1]):\n",
+    "        mdl_M2G = LinearRegression().fit(y_train, X_train[:, i])\n",
+    "        v_MET2GCP_models.append(mdl_M2G)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_MET2GCP_models, y_test, X_test)\n",
+    "    mse2_result = pd.concat([mse2_result,df_MSE],axis = 1)\n",
+    "#     pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "#     rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "mse2_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse2_result = mse2_result.T\n",
+    "print(mse2_result) "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [
     {
@@ -700,28 +477,31 @@
     }
    ],
    "source": [
-    "GCP2MET_models\n",
-    "v_GCP2MET_models\n",
-    "new = list()\n",
+    "minMSE2 = mse2_result.idxmin()\n",
+    "# print(minMSE)\n",
+    "\n",
+    "mse2_min = pd.DataFrame()\n",
+    "MSE2_min = list()\n",
+    "for index in mse2_result:\n",
+    "    v = mse2_result[index][minMSE2[index]]\n",
+    "    MSE2_min.append(v)\n",
+    "#     print(v)\n",
+    "mse2_min = pd.DataFrame(MSE2_min)\n",
+    "mse2_min.columns = [\"v_GCP2MET_models\"]\n",
+    "# print(mse2_min)\n",
+    "raw2 = mse2.join(mse2_min)\n",
+    "# print(raw2)\n",
+    "\n",
+    "new_MET2GCP = list()\n",
     "for index, row in raw.iterrows():\n",
-    "    if row['0GCP2MET_models'] < row['0v_GCP2MET_models']:\n",
+    "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
     "        \n",
-    "        new.append(GCP2MET_models[index])\n",
+    "        new_MET2GCP.append(GCP2MET_models[index])\n",
     "    else:\n",
-    "        new.append(v_GCP2MET_models[index])\n",
+    "        new_MET2GCP.append(v_GCP2MET_models[index])\n",
     "        \n",
     "    \n",
-    "print(new)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 15,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# mse_result,p_result,pearson_result = evaluate_models(new, Xtest, Ytest)\n",
-    "# print(mse_result)"
+    "print(new_MET2GCP)"
    ]
   },
   {

From 0fd964421d508f4df2ceafb844211ee91f0ffcb9 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Sun, 7 Feb 2021 16:51:34 -0500
Subject: [PATCH 16/18] change the evaluate_model function in Linear
 regression, and add mark down

---
 src/python/EDA/LASSO.ipynb           | 155790 +++++++++++++++++++++++-
 src/python/EDA/Linear_regression.csv |    226 +
 2 files changed, 155853 insertions(+), 163 deletions(-)
 create mode 100644 src/python/EDA/Linear_regression.csv

diff --git a/src/python/EDA/LASSO.ipynb b/src/python/EDA/LASSO.ipynb
index a843fd5..9c449ac 100644
--- a/src/python/EDA/LASSO.ipynb
+++ b/src/python/EDA/LASSO.ipynb
@@ -20,15 +20,35 @@
     "from yellowbrick.regressor import AlphaSelection\n",
     "from yellowbrick.regressor.alphas import alphas\n",
     "\n",
-    "\n",
     "\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Merge datasets based on cancer cell line name;\n",
+    "### concatenate the two dataframes and match based on cancer cell lines; \n",
+    "### save them into two new dataframes- MET and GCP; \n",
+    "### split GCP and MET into train and test set respectively.\n"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 15,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(259, 42)\n",
+      "(259, 225)\n",
+      "(604, 42)\n",
+      "225\n"
+     ]
+    }
+   ],
    "source": [
     "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
     "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
@@ -39,168 +59,151304 @@
     "\n",
     "GCP = np.nan_to_num(GCP, nan=0)\n",
     "MET = np.nan_to_num(MET, nan=0)\n",
+    "\n",
     "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
-    "# df_Xtrain = pd.DataFrame(Xtrain)\n",
-    "# df_Ytrain = pd.DataFrame(Ytrain)\n",
+    "print(Xtest.shape)\n",
+    "print(Ytest.shape)\n",
+    "print(Xtrain.shape)\n",
+    "print(Ytrain.shape[1])\n",
+    "\n",
     "\n"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 3,
+   "cell_type": "markdown",
    "metadata": {},
+   "source": [
+    "### Tuning the alpha"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "scrolled": true
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[0.15690549625435365, 0.1568768009563384, 0.1565983665118773, 0.15455604403226686, 0.15037133539544123, 0.15243451117552742, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466, 0.15288557559058466]\n",
-      "0.01\n"
+      "[0.29535576858546925, 0.3086718717777268, 0.30165608047685216, 0.2802928144020006, 0.3078989366913929, 0.2721896080318638, 0.2754615439847901, 0.30045833661849397, 0.30944776753819836, 0.30887479577318205, 0.30821000960686656, 0.29542288661628263, 0.3178345924931083, 0.30385532050845604, 0.2810695872641437, 0.32102750773106387]\n",
+      "0.1\n"
      ]
     }
    ],
    "source": [
-    "## GCP_to_MET\n",
     "\n",
-    "# Tuning the alpha\n",
     "alphas = [10**-6, 10**-5,10**-4,10**-3,10**-2,10**-1,1,2,3,4,5,6,7,8,9,10]\n",
+    "\n",
     "mdl = list()\n",
     "error = list()\n",
     "for i,a in enumerate(alphas):\n",
-    "    x=linear_model.Lasso(alpha=a).fit(Xtrain, Ytrain)\n",
-    "#     print(x)\n",
-    "    mdl.append(x)\n",
+    "    for j in range(Ytrain.shape[1]):\n",
+    "        x=linear_model.Lasso(alpha=a).fit(Xtrain, Ytrain[:, j])\n",
+    "        mdl.append(x)\n",
     "    ypred = mdl[i].predict(Xtest)\n",
-    "#     print(ypred)\n",
-    "    error.append(mean_squared_error(ypred,Ytest))\n",
+    "    error.append(mean_squared_error(ypred,Ytest[:, j]))\n",
     "print(error)\n",
     "minmse_index = error.index(min(error))\n",
     "best_alpha = alphas[minmse_index]\n",
     "print(best_alpha)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Fit train sets in Lasso with best alpha to generate models"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 5,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1)]\n",
+      "42\n"
+     ]
+    }
+   ],
+   "source": [
+    "GCP2MET_models = []\n",
+    "for i in range(Ytrain.shape[1]):\n",
+    "    mdl_G2M =linear_model.Lasso(alpha=best_alpha).fit(Xtrain, Ytrain[:, i])\n",
+    "#     mdl_G2M =linear_model.Lasso(alpha=0.01).fit(Xtrain, Ytrain[:, i])\n",
+    "    GCP2MET_models.append(mdl_G2M)\n",
+    "print(GCP2MET_models)\n",
+    "\n",
+    "\n",
+    "MET2GCP_models = []\n",
+    "\n",
+    "for j in range(Xtrain.shape[1]):\n",
+    "    mdl_M2G = linear_model.Lasso(alpha=best_alpha).fit(Ytrain, Xtrain[:,j])\n",
+    "    MET2GCP_models.append(mdl_M2G)\n",
+    "print(len(MET2GCP_models))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### To evaluate models and get correlation coefficient, pvalue, and mse value."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "     GCP2MET_models\n",
+      "0          0.102515\n",
+      "1          0.103831\n",
+      "2          0.229669\n",
+      "3          0.117125\n",
+      "4          0.096677\n",
+      "..              ...\n",
+      "220        0.158821\n",
+      "221        0.175441\n",
+      "222        0.265369\n",
+      "223        0.336896\n",
+      "224        0.276710\n",
+      "\n",
+      "[225 rows x 1 columns]\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    }
+   ],
+   "source": [
+    "def evaluate_models(models, Xtest, Ytest):\n",
+    "    \"\"\"\n",
+    "    evaluate_models returns results from the model predictions, including the pearson\n",
+    "    correlation coefficient, p-Values, and MSE.\n",
+    "\n",
+    "    :param models:         A list of scikit-learn model objects.\n",
+    "    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.\n",
+    "    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.\n",
+    "    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.\n",
+    "    \n",
+    "    \"\"\"\n",
+    "    \n",
+    "    predictions = []\n",
+    "    rValue = list()\n",
+    "    pValue = list()\n",
+    "    MSE = list()\n",
+    "    for i in range(len(models)):\n",
+    "        mdl = models[i]\n",
+    "        Ypred = mdl.predict(Xtest)\n",
+    "        predictions.append(Ypred)   \n",
+    "\n",
+    "        r, pvalue = pearsonr(Ypred, Ytest[:, i])\n",
+    "        rValue.append(r)\n",
+    "        pValue.append(pvalue)\n",
+    "        \n",
+    "        mse = mean_squared_error(Ypred, Ytest[:, i])\n",
+    "        MSE.append(mse)\n",
+    "\n",
+    "    df_MSE = pd.DataFrame(MSE)\n",
+    "    df_pValue = pd.DataFrame(pValue)\n",
+    "    df_rValue = pd.DataFrame(rValue)\n",
+    "    \n",
+    "    return df_MSE, df_pValue, df_rValue\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## GCP_to_MET\n",
+    "### perform 3-fold cross validation to find model that generate the smallest mse value."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "mse1.columns = [\"GCP2MET_models\"]\n",
+    "print(mse1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
      "output_type": "stream",
      "text": [
-      "225\n",
-      "42\n"
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
      ]
-    }
-   ],
-   "source": [
-    "GCP2MET_models = []\n",
-    "for i in range(Ytrain.shape[1]):\n",
-    "    mdl_G2M =linear_model.Lasso(alpha=best_alpha).fit(Xtrain, Ytrain[:, i])\n",
-    "    GCP2MET_models.append(mdl_G2M)\n",
-    "print(len(GCP2MET_models))\n",
-    "\n",
-    "\n",
-    "MET2GCP_models = []\n",
-    "\n",
-    "for j in range(Xtrain.shape[1]):\n",
-    "    mdl_M2G = linear_model.Lasso(alpha=best_alpha).fit(Ytrain, Xtrain[:,j])\n",
-    "    MET2GCP_models.append(mdl_M2G)\n",
-    "print(len(MET2GCP_models))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [
+    },
     {
-     "name": "stdout",
+     "name": "stderr",
      "output_type": "stream",
      "text": [
-      "     GCP2MET_models\n",
-      "0          0.101491\n",
-      "1          0.104198\n",
-      "2          0.212115\n",
-      "3          0.117747\n",
-      "4          0.096323\n",
-      "..              ...\n",
-      "220        0.155878\n",
-      "221        0.169268\n",
-      "222        0.257659\n",
-      "223        0.326099\n",
-      "224        0.258227\n",
-      "\n",
-      "[225 rows x 1 columns]\n"
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
      ]
-    }
-   ],
-   "source": [
-    "def evaluate_models(models, Xtest, Ytest):\n",
-    "    \"\"\"\n",
-    "    evaluate_models returns results from the model predictions, including the pearson\n",
-    "    correlation coefficient, p-Values, and MSE.\n",
-    "\n",
-    "    :param models:         A list of scikit-learn model objects.\n",
-    "    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.\n",
-    "    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.\n",
-    "    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.\n",
-    "    \n",
-    "    \"\"\"\n",
-    "    \n",
-    "    predictions = []\n",
-    "    rValue = list()\n",
-    "    pValue = list()\n",
-    "    MSE = list()\n",
-    "\n",
-    "    for i in range(len(models)):\n",
-    "        mdl = models[i]\n",
-    "        Ypred = mdl.predict(Xtest)\n",
-    "        predictions.append(Ypred)   \n",
-    "        r, pvalue = pearsonr(Ypred, Ytest[:, i])\n",
-    "        rValue.append(r)\n",
-    "        pValue.append(pvalue)\n",
-    "        mse = mean_squared_error(Ypred, Ytest[:, i])\n",
-    "        MSE.append(mse)\n",
-    "#     print(Ypred)\n",
-    "#     print(Xtest)\n",
-    "    df_MSE = pd.DataFrame(MSE)\n",
-    "    df_pValue = pd.DataFrame(pValue)\n",
-    "    df_rValue = pd.DataFrame(rValue)\n",
-    "    \n",
-    "    return df_MSE, df_pValue, df_rValue\n",
-    "\n",
-    "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
-    "mse1.columns = [\"GCP2MET_models\"]\n",
-    "print(mse1)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
       "           0         1         2         3         4         5         6    \\\n",
-      "mse1  0.089575  0.094861  0.296596  0.100531  0.090906  0.129799  0.042273   \n",
-      "mse2  0.106462  0.099635  0.302412  0.120697  0.094360  0.142247  0.036579   \n",
-      "mse3  0.093020  0.096180  0.252817  0.121182  0.085328  0.131163  0.037862   \n",
+      "mse1  0.090688  0.100590  0.319667  0.099910  0.095076  0.127956  0.042826   \n",
+      "mse2  0.109095  0.099824  0.319886  0.119748  0.096999  0.142412  0.036458   \n",
+      "mse3  0.093519  0.097830  0.257600  0.121908  0.088356  0.132511  0.037524   \n",
       "\n",
       "           7         8         9    ...       215       216       217  \\\n",
-      "mse1  0.071508  0.218492  0.097096  ...  0.134649  0.193515  0.180864   \n",
-      "mse2  0.065053  0.267308  0.107793  ...  0.096789  0.184076  0.178244   \n",
-      "mse3  0.064426  0.180017  0.092881  ...  0.117294  0.195196  0.173290   \n",
+      "mse1  0.072612  0.240407  0.099335  ...  0.139757  0.204598  0.196593   \n",
+      "mse2  0.065665  0.321116  0.104720  ...  0.099919  0.193543  0.179228   \n",
+      "mse3  0.065863  0.209724  0.092994  ...  0.121639  0.197970  0.180656   \n",
       "\n",
       "           218       219       220       221       222       223       224  \n",
-      "mse1  0.205080  0.156296  0.124726  0.163350  0.278675  0.328726  0.269641  \n",
-      "mse2  0.231610  0.180965  0.152861  0.181191  0.285273  0.363526  0.272564  \n",
-      "mse3  0.239074  0.188212  0.158302  0.190638  0.272416  0.310359  0.237598  \n",
+      "mse1  0.219824  0.166362  0.128087  0.163653  0.296058  0.345228  0.283334  \n",
+      "mse2  0.237738  0.191032  0.155435  0.185951  0.291920  0.367647  0.283155  \n",
+      "mse3  0.254368  0.198601  0.159200  0.197116  0.286553  0.322971  0.252365  \n",
       "\n",
       "[3 rows x 225 columns]\n"
      ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
     }
    ],
    "source": [
@@ -218,6 +151374,7 @@
     "    final_metrics = []\n",
     "    for i in range(y_train.shape[1]):\n",
     "        mdl_G2M = linear_model.Lasso(alpha=best_alpha).fit(X_train, y_train[:, i])\n",
+    "#         mdl_G2M = linear_model.Lasso(alpha=0.01).fit(X_train, y_train[:, i])\n",
     "        v_GCP2MET_models.append(mdl_G2M)\n",
     "        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)\n",
     "    mse_result = pd.concat([mse_result,df_MSE],axis = 1)\n",
@@ -230,25 +151387,27 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {},
+   "execution_count": 8,
+   "metadata": {
+    "scrolled": false
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
       "     GCP2MET_models  v_GCP2MET_models\n",
-      "0          0.101491          0.089575\n",
-      "1          0.104198          0.094861\n",
-      "2          0.212115          0.252817\n",
-      "3          0.117747          0.100531\n",
-      "4          0.096323          0.085328\n",
+      "0          0.102515          0.090688\n",
+      "1          0.103831          0.097830\n",
+      "2          0.229669          0.257600\n",
+      "3          0.117125          0.099910\n",
+      "4          0.096677          0.088356\n",
       "..              ...               ...\n",
-      "220        0.155878          0.124726\n",
-      "221        0.169268          0.163350\n",
-      "222        0.257659          0.272416\n",
-      "223        0.326099          0.310359\n",
-      "224        0.258227          0.237598\n",
+      "220        0.158821          0.128087\n",
+      "221        0.175441          0.163653\n",
+      "222        0.265369          0.286553\n",
+      "223        0.336896          0.322971\n",
+      "224        0.276710          0.252365\n",
       "\n",
       "[225 rows x 2 columns]\n"
      ]
@@ -272,37 +151431,547 @@
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 8,
+   "cell_type": "markdown",
    "metadata": {},
+   "source": [
+    "### Generate new list of model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "scrolled": false
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01)]\n"
+      "[Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1)]\n"
      ]
     }
    ],
    "source": [
-    "new_model = list()\n",
+    "new_GCP2MET = list()\n",
     "for index, row in raw.iterrows():\n",
     "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
     "        \n",
-    "        new_model.append(GCP2MET_models[index])\n",
+    "        new_GCP2MET.append(GCP2MET_models[index])\n",
     "    else:\n",
-    "        new_model.append(v_GCP2MET_models[index])\n",
+    "        new_GCP2MET.append(v_GCP2MET_models[index])\n",
     "        \n",
     "    \n",
-    "print(new_model)"
+    "print(new_GCP2MET)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Evaluate if the correlation coefficient generated with the list of best model is significant or not"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 10,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "     GCP2MET_p  GCP2MET_r  GCP2MET_r_0.05\n",
+      "0          NaN        NaN             NaN\n",
+      "1          NaN        NaN             NaN\n",
+      "2          NaN        NaN             NaN\n",
+      "3          NaN        NaN             NaN\n",
+      "4          NaN        NaN             NaN\n",
+      "..         ...        ...             ...\n",
+      "220        NaN        NaN             NaN\n",
+      "221        NaN        NaN             NaN\n",
+      "222        NaN        NaN             NaN\n",
+      "223        NaN        NaN             NaN\n",
+      "224        NaN        NaN             NaN\n",
+      "\n",
+      "[225 rows x 3 columns]\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    }
+   ],
+   "source": [
+    "mse_G2M,p_G2M,pearson_G2M = evaluate_models(new_GCP2MET, Xtest, Ytest)\n",
+    "p_G2M.columns = [\"GCP2MET_p\"]\n",
+    "pearson_G2M.columns = [\"GCP2MET_r\"]\n",
+    "raw_G2M = p_G2M.join(pearson_G2M)\n",
+    "pearson_G2M.columns = [\"GCP2MET_r_0.05\"]\n",
+    "new_G2M = raw_G2M.join(pearson_G2M)\n",
+    "\n",
+    "for index, row in new_G2M.iterrows():\n",
+    "    if row['GCP2MET_p'] >= 0.05:\n",
+    "        row['GCP2MET_r_0.05'] = 'NaN'\n",
+    "\n",
+    "print(new_G2M)        \n",
+    "new_G2M.to_csv('LASSO_G2M.csv')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "source": [
+    "## MET TO GCP (repeat the same process above)"
+   ]
   },
   {
    "cell_type": "code",
@@ -310,30 +151979,3685 @@
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
+     "name": "stderr",
      "output_type": "stream",
      "text": [
-      "            0         1         2         3         4         5         6   \\\n",
-      "mse1  0.175227  0.380132  0.588737  1.051244  0.255749  0.202275  0.181518   \n",
-      "mse2  0.084202  0.258606  0.237459  0.978266  0.177839  0.107370  0.138614   \n",
-      "mse3  0.091701  0.185900  0.319462  1.054341  0.194316  0.108792  0.159261   \n",
-      "\n",
-      "            7         8         9   ...        32        33        34  \\\n",
-      "mse1  0.315831  0.487928  0.406070  ...  0.837352  0.870477  0.683326   \n",
-      "mse2  0.226162  0.393376  0.260588  ...  1.080634  1.303954  0.837324   \n",
-      "mse3  0.236521  0.418744  0.288605  ...  0.933157  1.076697  0.992893   \n",
-      "\n",
-      "            35        36        37        38        39        40        41  \n",
-      "mse1  0.912046  0.376208  0.041114  1.344137  0.088397  0.240640  0.542718  \n",
-      "mse2  0.920801  0.435253  0.042624  2.027280  0.134786  0.118106  0.557401  \n",
-      "mse3  1.177404  0.395815  0.044395  1.224501  0.101151  0.195334  0.645212  \n",
-      "\n",
-      "[3 rows x 42 columns]\n"
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
      ]
     }
    ],
    "source": [
-    "## MET TO GCP\n",
     "mse2,p2,pearson2 = evaluate_models(MET2GCP_models, Ytest, Xtest)\n",
     "mse2.columns = [\"MET2GCP_models\"]\n",
     "\n",
@@ -361,14 +155685,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01), Lasso(alpha=0.01)]\n"
+      "[Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1), Lasso(alpha=0.1)]\n"
      ]
     }
    ],
@@ -383,23 +155707,163 @@
     "    MSE2_min.append(v)\n",
     "#     print(v)\n",
     "mse2_min = pd.DataFrame(MSE2_min)\n",
-    "mse2_min.columns = [\"v_GCP2MET_models\"]\n",
+    "mse2_min.columns = [\"v_MET2GCP_models\"]\n",
     "# print(mse2_min)\n",
     "raw2 = mse2.join(mse2_min)\n",
-    "# print(raw2)\n",
     "\n",
     "new_MET2GCP = list()\n",
-    "for index, row in raw.iterrows():\n",
-    "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
+    "for index, row in raw2.iterrows():\n",
+    "    if row['MET2GCP_models'] < row['v_MET2GCP_models']:\n",
     "        \n",
-    "        new_MET2GCP.append(GCP2MET_models[index])\n",
+    "        new_MET2GCP.append(MET2GCP_models[index])\n",
     "    else:\n",
-    "        new_MET2GCP.append(v_GCP2MET_models[index])\n",
-    "        \n",
+    "        new_MET2GCP.append(v_MET2GCP_models[index])\n",
+    "              \n",
     "    \n",
     "print(new_MET2GCP)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       MET2GCP_p  MET2GCP_r  MET2GCP_r_0.05\n",
+      "0            NaN        NaN             NaN\n",
+      "1   7.056391e-01   0.023581             NaN\n",
+      "2            NaN        NaN             NaN\n",
+      "3            NaN        NaN             NaN\n",
+      "4            NaN        NaN             NaN\n",
+      "5            NaN        NaN             NaN\n",
+      "6            NaN        NaN             NaN\n",
+      "7   1.434600e-02   0.151991        0.151991\n",
+      "8            NaN        NaN             NaN\n",
+      "9   2.815549e-03   0.184906        0.184906\n",
+      "10  5.065424e-08   0.330614        0.330614\n",
+      "11  5.696340e-09   0.352025        0.352025\n",
+      "12           NaN        NaN             NaN\n",
+      "13           NaN        NaN             NaN\n",
+      "14           NaN        NaN             NaN\n",
+      "15           NaN        NaN             NaN\n",
+      "16  2.473313e-04   0.225875        0.225875\n",
+      "17           NaN        NaN             NaN\n",
+      "18  3.408210e-01   0.059423             NaN\n",
+      "19  3.898113e-02   0.128364        0.128364\n",
+      "20           NaN        NaN             NaN\n",
+      "21           NaN        NaN             NaN\n",
+      "22           NaN        NaN             NaN\n",
+      "23           NaN        NaN             NaN\n",
+      "24           NaN        NaN             NaN\n",
+      "25           NaN        NaN             NaN\n",
+      "26  1.916601e-01   0.081390             NaN\n",
+      "27           NaN        NaN             NaN\n",
+      "28           NaN        NaN             NaN\n",
+      "29           NaN        NaN             NaN\n",
+      "30  2.662581e-01   0.069331             NaN\n",
+      "31           NaN        NaN             NaN\n",
+      "32           NaN        NaN             NaN\n",
+      "33           NaN        NaN             NaN\n",
+      "34           NaN        NaN             NaN\n",
+      "35           NaN        NaN             NaN\n",
+      "36           NaN        NaN             NaN\n",
+      "37           NaN        NaN             NaN\n",
+      "38  4.753491e-01   0.044547             NaN\n",
+      "39           NaN        NaN             NaN\n",
+      "40  7.063988e-01  -0.023517             NaN\n",
+      "41  7.521105e-01   0.019720             NaN\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n",
+      "/Users/narnij/opt/anaconda3/lib/python3.8/site-packages/scipy/stats/stats.py:3845: PearsonRConstantInputWarning: An input array is constant; the correlation coefficent is not defined.\n",
+      "  warnings.warn(PearsonRConstantInputWarning())\n"
+     ]
+    }
+   ],
+   "source": [
+    "mse_M2G,p_M2G,pearson_M2G = evaluate_models(new_MET2GCP, Ytest, Xtest)\n",
+    "p_M2G.columns = [\"MET2GCP_p\"]\n",
+    "pearson_M2G.columns = [\"MET2GCP_r\"]\n",
+    "raw_M2G = p_M2G.join(pearson_M2G)\n",
+    "pearson_M2G.columns = [\"MET2GCP_r_0.05\"]\n",
+    "new_M2G = raw_M2G.join(pearson_M2G)\n",
+    "\n",
+    "for index, row in new_M2G.iterrows():\n",
+    "    if row['MET2GCP_p'] >= 0.05:\n",
+    "        row['MET2GCP_r_0.05'] = 'NaN'\n",
+    "\n",
+    "print(new_M2G)        \n",
+    "new_M2G.to_csv('LASSO_M2G.csv')"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
diff --git a/src/python/EDA/Linear_regression.csv b/src/python/EDA/Linear_regression.csv
new file mode 100644
index 0000000..6e64494
--- /dev/null
+++ b/src/python/EDA/Linear_regression.csv
@@ -0,0 +1,226 @@
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From 2a0e8f9a12c24c540846a279e80d85d91c437b2d Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Mon, 8 Feb 2021 20:16:26 -0500
Subject: [PATCH 17/18] add .py version of MET2GCP, LASSO, and Linear
 regression

---
 src/python/LASSO.py             | 309 +++++++++++++++++++++++++++++
 src/python/MET2GCP_CORR.py      | 179 +++++++++++++++++
 src/python/linear regression.py | 336 ++++++++++++++++++++++++++++++++
 3 files changed, 824 insertions(+)
 create mode 100644 src/python/LASSO.py
 create mode 100644 src/python/MET2GCP_CORR.py
 create mode 100644 src/python/linear regression.py

diff --git a/src/python/LASSO.py b/src/python/LASSO.py
new file mode 100644
index 0000000..858f78b
--- /dev/null
+++ b/src/python/LASSO.py
@@ -0,0 +1,309 @@
+#!/usr/bin/env python
+# coding: utf-8
+
+# In[1]:
+
+
+import numpy as np
+import pandas as pd
+from sklearn.model_selection import train_test_split
+from sklearn import linear_model
+from scipy.stats import pearsonr
+from sklearn.metrics import mean_squared_error
+from sklearn.metrics import mean_absolute_error
+from sklearn.model_selection import KFold
+from sklearn.linear_model import LassoCV
+from sklearn.linear_model import MultiTaskLassoCV
+from yellowbrick.datasets import load_concrete
+from yellowbrick.regressor import AlphaSelection
+from yellowbrick.regressor.alphas import alphas
+
+
+
+# ### Merge datasets based on cancer cell line name;
+# ### concatenate the two dataframes and match based on cancer cell lines; 
+# ### save them into two new dataframes- MET and GCP; 
+# ### split GCP and MET into train and test set respectively.
+# 
+
+# In[15]:
+
+
+md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name="All")
+mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)
+hm = pd.read_csv('GCP_proteomics_remapped.csv')
+merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')
+MET = merge_tb.iloc[:,1:226]
+GCP = merge_tb.iloc[:,227:269]
+
+GCP = np.nan_to_num(GCP, nan=0)
+MET = np.nan_to_num(MET, nan=0)
+
+Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)
+print(Xtest.shape)
+print(Ytest.shape)
+print(Xtrain.shape)
+print(Ytrain.shape[1])
+
+
+
+# ### Tuning the alpha
+
+# In[4]:
+
+
+
+alphas = [10**-6, 10**-5,10**-4,10**-3,10**-2,10**-1,1,2,3,4,5,6,7,8,9,10]
+
+mdl = list()
+error = list()
+for i,a in enumerate(alphas):
+    for j in range(Ytrain.shape[1]):
+        x=linear_model.Lasso(alpha=a).fit(Xtrain, Ytrain[:, j])
+        mdl.append(x)
+    ypred = mdl[i].predict(Xtest)
+    error.append(mean_squared_error(ypred,Ytest[:, j]))
+print(error)
+minmse_index = error.index(min(error))
+best_alpha = alphas[minmse_index]
+print(best_alpha)
+
+
+# ### Fit train sets in Lasso with best alpha to generate models
+
+# In[5]:
+
+
+GCP2MET_models = []
+for i in range(Ytrain.shape[1]):
+    mdl_G2M =linear_model.Lasso(alpha=best_alpha).fit(Xtrain, Ytrain[:, i])
+#     mdl_G2M =linear_model.Lasso(alpha=0.01).fit(Xtrain, Ytrain[:, i])
+    GCP2MET_models.append(mdl_G2M)
+print(GCP2MET_models)
+
+
+MET2GCP_models = []
+
+for j in range(Xtrain.shape[1]):
+    mdl_M2G = linear_model.Lasso(alpha=best_alpha).fit(Ytrain, Xtrain[:,j])
+    MET2GCP_models.append(mdl_M2G)
+print(len(MET2GCP_models))
+
+
+# ### To evaluate models and get correlation coefficient, pvalue, and mse value.
+
+# In[6]:
+
+
+def evaluate_models(models, Xtest, Ytest):
+    """
+    evaluate_models returns results from the model predictions, including the pearson
+    correlation coefficient, p-Values, and MSE.
+
+    :param models:         A list of scikit-learn model objects.
+    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.
+    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.
+    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.
+    
+    """
+    
+    predictions = []
+    rValue = list()
+    pValue = list()
+    MSE = list()
+    for i in range(len(models)):
+        mdl = models[i]
+        Ypred = mdl.predict(Xtest)
+        predictions.append(Ypred)   
+
+        r, pvalue = pearsonr(Ypred, Ytest[:, i])
+        rValue.append(r)
+        pValue.append(pvalue)
+        
+        mse = mean_squared_error(Ypred, Ytest[:, i])
+        MSE.append(mse)
+
+    df_MSE = pd.DataFrame(MSE)
+    df_pValue = pd.DataFrame(pValue)
+    df_rValue = pd.DataFrame(rValue)
+    
+    return df_MSE, df_pValue, df_rValue
+
+
+# ## GCP_to_MET
+# ### perform 3-fold cross validation to find model that generate the smallest mse value.
+
+# In[ ]:
+
+
+mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)
+mse1.columns = ["GCP2MET_models"]
+print(mse1)
+
+
+# In[7]:
+
+
+kf = KFold(n_splits=3)
+
+KFold(n_splits=3, random_state=None, shuffle=True)
+mse_result = pd.DataFrame()
+pvalue_result = pd.DataFrame()
+rvalue_result = pd.DataFrame()
+for train_index, test_index in kf.split(Xtrain, Ytrain):
+#     print("TRAIN:", train_index, "TEST:", test_index)
+    X_train, X_test = Xtrain[train_index], Xtrain[test_index]
+    y_train, y_test = Ytrain[train_index], Ytrain[test_index]
+    v_GCP2MET_models = []
+    final_metrics = []
+    for i in range(y_train.shape[1]):
+        mdl_G2M = linear_model.Lasso(alpha=best_alpha).fit(X_train, y_train[:, i])
+#         mdl_G2M = linear_model.Lasso(alpha=0.01).fit(X_train, y_train[:, i])
+        v_GCP2MET_models.append(mdl_G2M)
+        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)
+    mse_result = pd.concat([mse_result,df_MSE],axis = 1)
+    pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)
+    rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)
+mse_result.columns = ["mse1","mse2","mse3"]
+mse_result = mse_result.T
+print(mse_result)   
+
+
+# In[8]:
+
+
+minMSE = mse_result.idxmin()
+# print(minMSE)
+
+mse_min = pd.DataFrame()
+MSE_min = list()
+for index in mse_result:
+    v = mse_result[index][minMSE[index]]
+    MSE_min.append(v)
+#     print(v)
+mse_min = pd.DataFrame(MSE_min)
+mse_min.columns = ["v_GCP2MET_models"]
+# print(mse_min)
+raw = mse1.join(mse_min)
+print(raw)
+
+
+# ### Generate new list of model
+
+# In[9]:
+
+
+new_GCP2MET = list()
+for index, row in raw.iterrows():
+    if row['GCP2MET_models'] < row['v_GCP2MET_models']:
+        
+        new_GCP2MET.append(GCP2MET_models[index])
+    else:
+        new_GCP2MET.append(v_GCP2MET_models[index])
+        
+    
+print(new_GCP2MET)
+
+
+# ### Evaluate if the correlation coefficient generated with the list of best model is significant or not
+
+# In[10]:
+
+
+mse_G2M,p_G2M,pearson_G2M = evaluate_models(new_GCP2MET, Xtest, Ytest)
+p_G2M.columns = ["GCP2MET_p"]
+pearson_G2M.columns = ["GCP2MET_r"]
+raw_G2M = p_G2M.join(pearson_G2M)
+pearson_G2M.columns = ["GCP2MET_r_0.05"]
+new_G2M = raw_G2M.join(pearson_G2M)
+
+for index, row in new_G2M.iterrows():
+    if row['GCP2MET_p'] >= 0.05:
+        row['GCP2MET_r_0.05'] = 'NaN'
+
+print(new_G2M)        
+new_G2M.to_csv('LASSO_G2M.csv')
+
+
+# ## MET TO GCP (repeat the same process above)
+
+# In[12]:
+
+
+mse2,p2,pearson2 = evaluate_models(MET2GCP_models, Ytest, Xtest)
+mse2.columns = ["MET2GCP_models"]
+
+kf = KFold(n_splits=3)
+KFold(n_splits=3, random_state=None, shuffle=True)
+mse2_result = pd.DataFrame()
+# pvalue_result = pd.DataFrame()
+# rvalue_result = pd.DataFrame()
+for train_index, test_index in kf.split(Xtrain, Ytrain):
+    X_train, X_test = Xtrain[train_index], Xtrain[test_index]
+    y_train, y_test = Ytrain[train_index], Ytrain[test_index]
+    v_MET2GCP_models = []
+    metrics = []
+    for i in range(X_train.shape[1]):
+        mdl_M2G = linear_model.Lasso(alpha=best_alpha).fit(y_train, X_train[:, i])
+        v_MET2GCP_models.append(mdl_M2G)
+        df_MSE, df_pValue, df_rValue = evaluate_models(v_MET2GCP_models, y_test, X_test)
+    mse2_result = pd.concat([mse2_result,df_MSE],axis = 1)
+#     pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)
+#     rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)
+mse2_result.columns = ["mse1","mse2","mse3"]
+mse2_result = mse2_result.T
+# print(mse2_result) 
+
+
+# In[13]:
+
+
+minMSE2 = mse2_result.idxmin()
+# print(minMSE)
+
+mse2_min = pd.DataFrame()
+MSE2_min = list()
+for index in mse2_result:
+    v = mse2_result[index][minMSE2[index]]
+    MSE2_min.append(v)
+#     print(v)
+mse2_min = pd.DataFrame(MSE2_min)
+mse2_min.columns = ["v_MET2GCP_models"]
+# print(mse2_min)
+raw2 = mse2.join(mse2_min)
+
+new_MET2GCP = list()
+for index, row in raw2.iterrows():
+    if row['MET2GCP_models'] < row['v_MET2GCP_models']:
+        
+        new_MET2GCP.append(MET2GCP_models[index])
+    else:
+        new_MET2GCP.append(v_MET2GCP_models[index])
+              
+    
+print(new_MET2GCP)
+
+
+# In[14]:
+
+
+mse_M2G,p_M2G,pearson_M2G = evaluate_models(new_MET2GCP, Ytest, Xtest)
+p_M2G.columns = ["MET2GCP_p"]
+pearson_M2G.columns = ["MET2GCP_r"]
+raw_M2G = p_M2G.join(pearson_M2G)
+pearson_M2G.columns = ["MET2GCP_r_0.05"]
+new_M2G = raw_M2G.join(pearson_M2G)
+
+for index, row in new_M2G.iterrows():
+    if row['MET2GCP_p'] >= 0.05:
+        row['MET2GCP_r_0.05'] = 'NaN'
+
+print(new_M2G)        
+new_M2G.to_csv('LASSO_M2G.csv')
+
+
+# In[ ]:
+
+
+
+
diff --git a/src/python/MET2GCP_CORR.py b/src/python/MET2GCP_CORR.py
new file mode 100644
index 0000000..b1241b3
--- /dev/null
+++ b/src/python/MET2GCP_CORR.py
@@ -0,0 +1,179 @@
+#!/usr/bin/env python
+# coding: utf-8
+
+# # Chromatin Profile and Metabolomics Correlation
+# **Author**: Rachael Jin
+
+# ## Summary
+# This notebook computes the Pearson correlation coefficient and p-value between each histone marker and metabolite pair for 800+ cancer cell lines.
+
+# ## Import data
+# First, we'll read in the metabolomics and chromatin profile data, which are saved as Excel workbooks.
+
+# In[1]:
+
+
+import pandas as pd
+import numpy as np
+import scipy.stats
+from scipy.stats import kendalltau, pearsonr, spearmanr
+from scipy import stats
+md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name="All")
+md.head()
+
+
+# In[2]:
+
+
+mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)
+print('\n\nmd after deleting column\n--------------')
+print(mt)
+
+
+# In[3]:
+
+
+hm = pd.read_csv('GCP_proteomics_remapped.csv')
+hm.head()
+
+
+# ## Merge datasets based on unique cancer cell line name
+# Next, we'll concatenate the two dataframes and match based on cancer cell lines.
+
+# In[4]:
+
+
+merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')
+merge_tb.head()
+
+
+# In[5]:
+
+
+mt.info()
+print('\n')
+hm.info()
+print('\n')
+merge_tb.info()
+
+
+# ## Separate dataframes 
+# Now that the data is matched by cell lines, we can separate the dataframes again.
+
+# In[6]:
+
+
+metabolites = merge_tb.iloc[:,1:226]
+metabolites.head()
+
+
+# In[7]:
+
+
+histone_markers = merge_tb.iloc[:,227:269]
+histone_markers.head()
+
+
+# ## Compute pearson correlation coefficient and pvalue
+# Finally, we'll compute the correlation coefficients between metabolites and histone markers and the p-value of correlation. Note that we're also computing metabolite-metabolite and histone-histone correlations. While those are interesting as well, we'll ignore those for downstream analyses.
+# 
+
+# In[8]:
+
+
+correlation = merge_tb.corr(method ='pearson')
+correlation.to_csv('correlation.csv')
+
+
+# In[9]:
+
+
+corr = pd.concat([metabolites, histone_markers], axis=1, keys=['metabolites', 'histone_markers']).corr().loc['metabolites', 'histone_markers']
+corr
+
+
+# In[10]:
+
+
+corr.to_csv('corr.csv')
+
+
+# In[11]:
+
+
+def calculate_pvalues(df,mt,hm):
+    """
+    :param df: A pandas dataframe containing the merged table of "CCLE metabolomics dataset" and "GCP_proteomics_remapped". Rows correspond to X, Columns correspond to Y.
+    :param mt: A pandas dataframe containing just the metabolites portion of the merged table.
+    :param hm: A pandas dataframe containing just the histone markers portion of the mergerd table.
+    :return newpvalues: A pandas dataframe containg correlations's p-values that are less or equal to 0.05
+    
+    """
+    df = df.dropna()._get_numeric_data()
+    dfcols = pd.DataFrame(columns=df.columns)
+    pvalues = dfcols.transpose().join(dfcols, how='outer')
+    df_mt = mt.dropna()._get_numeric_data()
+    df_hm = hm.dropna()._get_numeric_data()
+    df_mtcols = pd.DataFrame(columns=df_mt.columns)
+    df_hmcols = pd.DataFrame(columns=df_hm.columns)
+    newpvalues = df_mtcols.transpose().join(df_hmcols, how='outer')
+    for r in (df.columns):
+        for c in (df.columns):
+            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)
+    for r in (df_mt.columns):
+        for c in (df_hm.columns):
+            if pvalues[r][c] <= 0.05:
+                newpvalues[c][r] = pvalues[r][c]
+    newpvalues.to_csv('pvalues_0.05.csv')
+    return newpvalues
+
+calculate_pvalues(merge_tb,metabolites,histone_markers)
+
+
+# In[14]:
+
+
+def generate_corrtable(df,mt,hm,corr):
+    """
+    :param df: A pandas dataframe containing the merged table of "CCLE metabolomics dataset" and "GCP_proteomics_remapped". Rows correspond to X, Columns correspond to Y.
+    :param mt: A pandas dataframe containing just the metabolites portion of the merged table.
+    :param hm: A pandas dataframe containing just the histone markers portion of the mergerd table.
+    :param corr: A pandas dataframe containing previous generated correlation value between metabolites and histone markers.
+    :return new_corr: A pandas dataframe containg correlation that has p-values <= 0.05
+    
+    """
+    df = df.dropna()._get_numeric_data()
+    dfcols = pd.DataFrame(columns=df.columns)
+    pvalues = dfcols.transpose().join(dfcols, how='outer')
+    df_mt = mt.dropna()._get_numeric_data()
+    df_hm = hm.dropna()._get_numeric_data()
+    df_mtcols = pd.DataFrame(columns=df_mt.columns)
+    df_hmcols = pd.DataFrame(columns=df_hm.columns)
+    newpvalues = df_mtcols.transpose().join(df_hmcols, how='outer')
+    new_corr = df_mtcols.transpose().join(df_hmcols, how='outer')
+    for r in (df.columns):
+        for c in (df.columns):
+            pvalues[r][c] = round(pearsonr(df[r], df[c])[1],4)
+    for r in (df_mt.columns):
+        for c in (df_hm.columns):
+            if pvalues[r][c] <= 0.05:
+                newpvalues[c][r] = pvalues[r][c] 
+    for r in (df_mt.columns):
+        for c in (df_hm.columns):
+            if np.isnan(newpvalues[c][r]) == False:
+                new_corr[c][r] = corr[c][r]
+                if (new_corr[c][r]) > 0:
+                    new_corr[c][r] = 1
+                elif (new_corr[c][r] < 0):
+                    new_corr[c][r] = -1
+    new_corr.to_csv('new_corr.csv')
+    return new_corr
+    
+generate_corrtable(merge_tb,metabolites, histone_markers, corr)
+
+
+# In[ ]:
+
+
+
+
diff --git a/src/python/linear regression.py b/src/python/linear regression.py
new file mode 100644
index 0000000..88ea209
--- /dev/null
+++ b/src/python/linear regression.py	
@@ -0,0 +1,336 @@
+#!/usr/bin/env python
+# coding: utf-8
+
+# In[1]:
+
+
+import pandas as pd
+import numpy as np
+from sklearn.model_selection import train_test_split
+from sklearn.linear_model import LinearRegression
+from scipy.stats import pearsonr
+from sklearn.metrics import mean_squared_error
+from sklearn.metrics import mean_absolute_error
+from sklearn.model_selection import KFold
+from scipy.stats import median_absolute_deviation as mad
+from scipy.stats import norm
+### Fit train sets in Lasso with best alpha
+
+
+# ### Merge datasets based on cancer cell line name;
+# ### concatenate the two dataframes and match based on cancer cell lines; 
+# ### save them into two new dataframes- MET and GCP; 
+# ### split GCP and MET into train and test set respectively.
+
+# In[27]:
+
+
+md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name="All")
+mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)
+hm = pd.read_csv('GCP_proteomics_remapped.csv')
+merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')
+MET = merge_tb.iloc[:,1:226]
+GCP = merge_tb.iloc[:,227:269]
+
+
+# ### Plot the H3K4me1 and K3K9ac1 z-score from originial histone marker data set.
+
+# In[31]:
+
+
+ax1 = hm.plot.scatter(x='H3K4me1',
+                      y='Cell Line',
+                      c='DarkBlue')
+# ax1.figure.savefig('H3K4me1.pdf')
+ax2 = hm.plot.scatter(x='H3K9ac1K14ac0',
+                      y='Cell Line',
+                      c='Red')
+
+
+# ### Eliminate NaN
+# ### Split GCP and MET into train and test set respectively.
+
+# In[32]:
+
+
+GCP = np.nan_to_num(GCP, nan=0)
+MET = np.nan_to_num(MET, nan=0)
+Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)
+
+print(Xtest.shape)
+
+print(Ytrain.shape)
+
+
+# ### Fit train sets with Linear regression to generate models
+
+# In[4]:
+
+
+GCP2MET_models = []
+for i in range(Ytrain.shape[1]):
+    mdl_G2M = LinearRegression().fit(Xtrain, Ytrain[:, i])
+    GCP2MET_models.append(mdl_G2M)
+
+
+MET2GCP_models = []
+
+for j in range(Xtrain.shape[1]):
+    mdl_M2G = LinearRegression().fit(Ytrain, Xtrain[:,j])
+    MET2GCP_models.append(mdl_M2G)
+
+
+# In[5]:
+
+
+# def robust_zscore(df):
+#     """
+#     robust_zscore computes a modified version of the Z-score centered around the media and scaled by the median absolute deviation.
+#     INPUT:
+#       :param df: A data frame corresponding to numerical values where rows correspond to cells and columns correspond to genes.
+#     OUTPUTS:
+#       :output Z: A data frame of the robust Z-scores.
+#       :output pval: A data frame of the p-values corresponding to the robust Z-scores.
+#     # Compute model parameters
+#     """
+#     med = df.median(axis=0)
+#     n = df.shape[1]
+#     med_abs_dev = mad(df)
+#     scale_factor = 1.4826
+#     # Compute robust Z-score
+#     Z = (df - med) / (med_abs_dev * scale_factor)
+#     Z[~np.isfinite(Z)] = 0
+#     # Compute P-value based on Z-score
+#     pval = norm.sf(abs(Z))*2 
+#     pval = pd.DataFrame(pval,
+#                     index=df.index,
+#                     columns=df.columns)
+#     return(Z, pval)
+
+
+# ### To evaluate models and get correlation coefficient, pvalue, and mse value.
+
+# In[42]:
+
+
+def evaluate_models(models, Xtest, Ytest):
+    """
+    evaluate_models returns results from the model predictions, including the pearson
+    correlation coefficient, p-Values, and MSE.
+
+    :param models:         A list of scikit-learn model objects.
+    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.
+    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.
+    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.
+    
+    """
+    
+    predictions = []
+    rValue = list()
+    pValue = list()
+    MSE = list()
+    for i in range(len(models)):
+        mdl = models[i]
+        Ypred = mdl.predict(Xtest)
+        predictions.append(Ypred)   
+    
+        r, p_value = pearsonr(Ypred, Ytest[:, i])
+        # Compute P-value based on r-value
+        pval = norm.sf(abs(r))*2 
+        rValue.append(r)
+        pValue.append(pval)
+        
+        mse = mean_squared_error(Ypred, Ytest[:, i])
+        MSE.append(mse)
+        
+    df_MSE = pd.DataFrame(MSE)
+    df_pValue = pd.DataFrame(pValue)
+    df_rValue = pd.DataFrame(rValue)
+    
+    return df_MSE, df_pValue, df_rValue
+
+
+# ## GCP to MET
+# ### perform 3-fold cross validation to find model that generate the smallest mse value.
+
+# In[43]:
+
+
+mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)
+mse1.columns = ["GCP2MET_models"]
+
+print(mse1)
+
+
+# In[8]:
+
+
+
+kf = KFold(n_splits=3)
+
+KFold(n_splits=3, random_state=None, shuffle=True)
+mse_result = pd.DataFrame()
+pvalue_result = pd.DataFrame()
+rvalue_result = pd.DataFrame()
+for train_index, test_index in kf.split(Xtrain, Ytrain):
+
+    X_train, X_test = Xtrain[train_index], Xtrain[test_index]
+    y_train, y_test = Ytrain[train_index], Ytrain[test_index]
+    v_GCP2MET_models = []
+    final_metrics = []
+    for i in range(y_train.shape[1]):
+        mdl_G2M = LinearRegression().fit(X_train, y_train[:, i])
+        v_GCP2MET_models.append(mdl_G2M)
+        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)
+    mse_result = pd.concat([mse_result,df_MSE],axis = 1)
+    pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)
+    rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)
+
+    
+mse_result.columns = ["mse1","mse2","mse3"]
+mse_result = mse_result.T
+print(mse_result)
+       
+
+
+# In[9]:
+
+
+minMSE = mse_result.idxmin()
+print(minMSE)
+
+
+# In[10]:
+
+
+mse_min = pd.DataFrame()
+MSE_min = list()
+for index in mse_result:
+    v = mse_result[index][minMSE[index]]
+    MSE_min.append(v)
+#     print(v)
+mse_min = pd.DataFrame(MSE_min)
+mse_min.columns = ["v_GCP2MET_models"]
+# print(mse_min)
+raw = mse1.join(mse_min)
+print(raw)
+
+
+# ### Generate new list of model
+
+# In[11]:
+
+
+new_GCP2MET = list()
+for index, row in raw.iterrows():
+    if row['GCP2MET_models'] < row['v_GCP2MET_models']:
+        
+        new_GCP2MET.append(GCP2MET_models[index])
+    else:
+        new_GCP2MET.append(v_GCP2MET_models[index])
+        
+    
+print(new_GCP2MET)
+
+
+# ### Evaluate if the correlation coefficient generated with the list of best model is significant or not
+
+# In[12]:
+
+
+mse_G2M,p_G2M,pearson_G2M = evaluate_models(new_GCP2MET, Xtest, Ytest)
+p_G2M.columns = ["GCP2MET_p"]
+pearson_G2M.columns = ["GCP2MET_r"]
+raw_G2M = p_G2M.join(pearson_G2M)
+pearson_G2M.columns = ["GCP2MET_r_0.05"]
+new_G2M = raw_G2M.join(pearson_G2M)
+
+for index, row in new_G2M.iterrows():
+    if row['GCP2MET_p'] >= 0.05:
+        row['GCP2MET_r_0.05'] = 'NaN'
+
+print(new_G2M)        
+new_G2M.to_csv('Linear_Regression_G2M.csv')
+
+
+# ## MET TO GCP (repeat the same process above)
+
+# In[14]:
+
+
+mse2,p2,pearson2 = evaluate_models(MET2GCP_models, Ytest, Xtest)
+mse2.columns = ["MET2GCP_models"]
+
+kf = KFold(n_splits=3)
+KFold(n_splits=3, random_state=None, shuffle=True)
+mse2_result = pd.DataFrame()
+# pvalue_result = pd.DataFrame()
+# rvalue_result = pd.DataFrame()
+for train_index, test_index in kf.split(Xtrain, Ytrain):
+    X_train, X_test = Xtrain[train_index], Xtrain[test_index]
+    y_train, y_test = Ytrain[train_index], Ytrain[test_index]
+    v_MET2GCP_models = []
+    metrics = []
+    for i in range(X_train.shape[1]):
+        mdl_M2G = LinearRegression().fit(y_train, X_train[:, i])
+        v_MET2GCP_models.append(mdl_M2G)
+        df_MSE, df_pValue, df_rValue = evaluate_models(v_MET2GCP_models, y_test, X_test)
+    mse2_result = pd.concat([mse2_result,df_MSE],axis = 1)
+
+mse2_result.columns = ["mse1","mse2","mse3"]
+mse2_result = mse2_result.T
+print(mse2_result) 
+
+
+# In[15]:
+
+
+minMSE2 = mse2_result.idxmin()
+# print(minMSE)
+
+mse2_min = pd.DataFrame()
+MSE2_min = list()
+for index in mse2_result:
+    v = mse2_result[index][minMSE2[index]]
+    MSE2_min.append(v)
+#     print(v)
+mse2_min = pd.DataFrame(MSE2_min)
+mse2_min.columns = ["v_MET2GCP_models"]
+# print(mse2_min)
+raw2 = mse2.join(mse2_min)
+
+new_MET2GCP = list()
+for index, row in raw2.iterrows():
+    if row['MET2GCP_models'] < row['v_MET2GCP_models']:
+        
+        new_MET2GCP.append(MET2GCP_models[index])
+    else:
+        new_MET2GCP.append(v_MET2GCP_models[index])
+        
+    
+print(new_MET2GCP)
+
+
+# In[16]:
+
+
+mse_M2G,p_M2G,pearson_M2G = evaluate_models(new_MET2GCP, Ytest, Xtest)
+p_M2G.columns = ["MET2GCP_p"]
+pearson_M2G.columns = ["MET2GCP_r"]
+raw_M2G = p_M2G.join(pearson_M2G)
+pearson_M2G.columns = ["MET2GCP_r_0.05"]
+new_M2G = raw_M2G.join(pearson_M2G)
+
+for index, row in new_M2G.iterrows():
+    if row['MET2GCP_p'] >= 0.05:
+        row['MET2GCP_r_0.05'] = 'NaN'
+
+print(new_M2G)        
+new_M2G.to_csv('Linear_Regression_M2G.csv')
+
+
+# In[ ]:
+
+
+
+

From 25659155e6dbe36bee245050131b56dc7e766be8 Mon Sep 17 00:00:00 2001
From: narnij <narnij@umich.edu>
Date: Sat, 27 Mar 2021 13:47:49 -0400
Subject: [PATCH 18/18] to find correlation between individual histone marker
 and metabolites

---
 src/python/EDA/LASSO_correlation.ipynb | 10346 +++++++++++++++++++++++
 1 file changed, 10346 insertions(+)
 create mode 100644 src/python/EDA/LASSO_correlation.ipynb

diff --git a/src/python/EDA/LASSO_correlation.ipynb b/src/python/EDA/LASSO_correlation.ipynb
new file mode 100644
index 0000000..258de86
--- /dev/null
+++ b/src/python/EDA/LASSO_correlation.ipynb
@@ -0,0 +1,10346 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "from sklearn.model_selection import train_test_split\n",
+    "from sklearn import linear_model\n",
+    "from scipy.stats import pearsonr\n",
+    "from sklearn.metrics import mean_squared_error\n",
+    "from sklearn.metrics import mean_absolute_error\n",
+    "from sklearn.model_selection import KFold\n",
+    "from sklearn.linear_model import LassoCV\n",
+    "from sklearn.linear_model import MultiTaskLassoCV\n",
+    "from yellowbrick.datasets import load_concrete\n",
+    "from yellowbrick.regressor import AlphaSelection\n",
+    "from yellowbrick.regressor.alphas import alphas\n",
+    "from heapq import nsmallest\n",
+    "import sys\n",
+    "import seaborn as sns\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Merge datasets based on cancer cell line name;\n",
+    "### concatenate the two dataframes and match based on cancer cell lines; \n",
+    "### save them into two new dataframes- MET and GCP; \n",
+    "### split GCP and MET into train and test set respectively.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(604,)\n",
+      "(604,)\n"
+     ]
+    }
+   ],
+   "source": [
+    "md = pd.read_excel(io='CCLE metabolomics dataset.xlsx',sheet_name=\"All\")\n",
+    "mt = md.drop(['Tissue', 'Medium','Culture'], axis=1)\n",
+    "hm = pd.read_csv('GCP_proteomics_remapped.csv')\n",
+    "merge_tb = mt.merge(hm,how='inner',left_on='CCL', right_on='Cell Line')\n",
+    "MET = merge_tb.iloc[:,1:226]\n",
+    "GCP = merge_tb.iloc[:,227:269]\n",
+    "\n",
+    "metab = MET.columns\n",
+    "metab_name = pd.DataFrame(metab)\n",
+    "his = GCP.columns\n",
+    "his_name = pd.DataFrame(his)\n",
+    "\n",
+    "GCP = np.nan_to_num(GCP, nan=0)\n",
+    "MET = np.nan_to_num(MET, nan=0)\n",
+    "\n",
+    "Xtrain, Xtest, Ytrain, Ytest =train_test_split(GCP, MET, test_size=0.3, random_state=0)\n",
+    "# print(Xtest.shape)\n",
+    "# print(Ytest.shape)\n",
+    "# print(Xtrain.shape)\n",
+    "# print(Ytrain.shape)\n",
+    "\n",
+    "x = Xtrain[:,1]\n",
+    "print(x.shape)\n",
+    "y = Ytrain[:,50]\n",
+    "print(y.shape)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Tuning the alpha"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# alphas = [10**-6, 10**-5,10**-4,10**-3,10**-2,10**-1,1,2,3,4,5,6,7,8,9,10]\n",
+    "# min_mses_G2M = []\n",
+    "# best_alpha_G2M = []\n",
+    "# for j in range(Ytrain.shape[1]):\n",
+    "#     min_mses = sys.maxsize\n",
+    "#     alpha_value = 100\n",
+    "#     for i,a in enumerate(alphas):\n",
+    "#         x = linear_model.Lasso(alpha=a, max_iter=10000, tol=0.0001).fit(Xtrain, Ytrain[:, j])\n",
+    "#         ypred = x.predict(Xtest)\n",
+    "#         mse = mean_squared_error(ypred,Ytest[:, j])\n",
+    "#         if mse < min_mses:\n",
+    "#             min_mses = mse\n",
+    "#             alpha_value = a\n",
+    "#     min_mses_G2M.append(min_mses)\n",
+    "#     best_alpha_G2M.append(alpha_value)\n",
+    "# print(best_alpha_G2M)\n",
+    "\n",
+    "# min_mses_M2G = []\n",
+    "# best_alpha_M2G = []\n",
+    "# for k in range(Xtrain.shape[1]):\n",
+    "#     min_mses = sys.maxsize\n",
+    "#     alpha_value = 100\n",
+    "#     for i,a in enumerate(alphas):\n",
+    "#         x = linear_model.Lasso(alpha=a,max_iter=10000, tol=0.0001).fit(Ytrain, Xtrain[:, k])\n",
+    "#         xpred = x.predict(Ytest)\n",
+    "#         mse = mean_squared_error(xpred,Xtest[:, k])\n",
+    "#         if mse < min_mses:\n",
+    "#             min_mses = mse\n",
+    "#             alpha_value = a\n",
+    "#     min_mses_M2G.append(min_mses)\n",
+    "#     best_alpha_M2G.append(alpha_value)\n",
+    "# print(best_alpha_M2G)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[1.e-02 1.e-02 1.e-06 ... 1.e-02 1.e-02 1.e-02]\n",
+      " [1.e-02 1.e-02 1.e-06 ... 1.e-06 1.e-03 1.e-02]\n",
+      " [1.e-06 1.e-01 1.e-06 ... 1.e-01 1.e-06 1.e-01]\n",
+      " ...\n",
+      " [1.e-03 1.e-03 1.e-03 ... 1.e-02 1.e-01 1.e-01]\n",
+      " [1.e-02 1.e-03 1.e-03 ... 1.e-02 1.e-01 1.e-01]\n",
+      " [1.e-02 1.e-02 1.e-06 ... 1.e-06 1.e-01 1.e-01]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "alphas = [10**-6, 10**-5,10**-4,10**-3,10**-2,10**-1,1,2,3,4,5,6,7,8,9,10]\n",
+    "min_mses_G2M = []\n",
+    "best_alpha_G2M = np.zeros([42, 225])\n",
+    "for k in range(Xtrain.shape[1]):\n",
+    "    for j in range(Ytrain.shape[1]):\n",
+    "        min_mses = sys.maxsize\n",
+    "        alpha_value = 100\n",
+    "        for i,a in enumerate(alphas):\n",
+    "            x = linear_model.Lasso(alpha=a, max_iter=10000, tol=0.0001).fit(Xtrain[:,k].reshape(-1,1), Ytrain[:, j])\n",
+    "            ypred = x.predict(Xtest[:,k].reshape(-1,1))\n",
+    "            mse = mean_squared_error(Ytest[:, j], ypred)\n",
+    "            if mse < min_mses:\n",
+    "                min_mses = mse\n",
+    "                alpha_value = a\n",
+    "            else:\n",
+    "                alpha_value = alpha_value\n",
+    "        min_mses_G2M.append(min_mses)\n",
+    "        best_alpha_G2M[k,j] = alpha_value\n",
+    "print(best_alpha_G2M.shape)\n",
+    "\n",
+    "min_mses_M2G = []\n",
+    "best_alpha_M2G = np.zeros([225, 42]) \n",
+    "for j in range(Ytrain.shape[1]):\n",
+    "    for k in range(Xtrain.shape[1]):\n",
+    "        min_mses = sys.maxsize\n",
+    "        alpha_value = 100\n",
+    "        for i,a in enumerate(alphas):\n",
+    "            x = linear_model.Lasso(alpha=a,max_iter=10000, tol=0.0001).fit(Ytrain[:,j].reshape(-1,1), Xtrain[:, k])\n",
+    "            xpred = x.predict(Ytest[:,j].reshape(-1,1))\n",
+    "            mse = mean_squared_error(Xtest[:, k], xpred)\n",
+    "            if mse < min_mses:\n",
+    "                min_mses = mse\n",
+    "                alpha_value = a\n",
+    "            else:\n",
+    "                alpha_value = alpha_value\n",
+    "        min_mses_M2G.append(min_mses)\n",
+    "        best_alpha_M2G[j,k] = alpha_value\n",
+    "print(best_alpha_M2G)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Fit train sets in Lasso with best alpha to generate models"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(42, 225)\n",
+      "                                     0                                   1   \\\n",
+      "0     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "1     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "2    Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "3    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "4     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "..                                  ...                                 ...   \n",
+      "220  Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "222  Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "223   Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "224   Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "\n",
+      "                                     2                                   3   \\\n",
+      "0    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "1    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "2    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "3    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "4     Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "..                                  ...                                 ...   \n",
+      "220  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221  Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "222  Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "223  Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "224  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "\n",
+      "                                      4                                   5   \\\n",
+      "0     Lasso(alpha=0.001, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "1     Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "2     Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "3       Lasso(alpha=0.1, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "4       Lasso(alpha=0.1, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "..                                   ...                                 ...   \n",
+      "220   Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "221  Lasso(alpha=0.0001, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "222     Lasso(alpha=0.1, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "223     Lasso(alpha=0.1, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "224     Lasso(alpha=0.1, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "\n",
+      "                                      6                                   7   \\\n",
+      "0      Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "1    Lasso(alpha=0.0001, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "2       Lasso(alpha=0.1, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "3      Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "4     Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "..                                   ...                                 ...   \n",
+      "220   Lasso(alpha=0.001, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "221    Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "222   Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "223   Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "224    Lasso(alpha=0.01, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "\n",
+      "                                     8                                   9   \\\n",
+      "0      Lasso(alpha=0.1, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "1      Lasso(alpha=0.1, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "2     Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "3      Lasso(alpha=0.1, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "4      Lasso(alpha=0.1, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "..                                  ...                                 ...   \n",
+      "220   Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221  Lasso(alpha=0.001, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "222   Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "223   Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "224  Lasso(alpha=1e-06, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "\n",
+      "     ...                                  32  \\\n",
+      "0    ...   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "1    ...  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "2    ...  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "3    ...    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "4    ...   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "..   ...                                 ...   \n",
+      "220  ...  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221  ...    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "222  ...    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "223  ...    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "224  ...   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "\n",
+      "                                     33                                  34  \\\n",
+      "0     Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "1     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "2    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "3      Lasso(alpha=0.1, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "4    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "..                                  ...                                 ...   \n",
+      "220  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221   Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "222  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "223  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "224  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "\n",
+      "                                     35                                   36  \\\n",
+      "0      Lasso(alpha=0.1, max_iter=10000)     Lasso(alpha=0.1, max_iter=10000)   \n",
+      "1    Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=0.0001, max_iter=10000)   \n",
+      "2    Lasso(alpha=0.001, max_iter=10000)   Lasso(alpha=0.001, max_iter=10000)   \n",
+      "3     Lasso(alpha=0.01, max_iter=10000)    Lasso(alpha=0.01, max_iter=10000)   \n",
+      "4    Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.01, max_iter=10000)   \n",
+      "..                                  ...                                  ...   \n",
+      "220  Lasso(alpha=1e-06, max_iter=10000)   Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221  Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.01, max_iter=10000)   \n",
+      "222  Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.01, max_iter=10000)   \n",
+      "223  Lasso(alpha=1e-06, max_iter=10000)     Lasso(alpha=0.1, max_iter=10000)   \n",
+      "224  Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.01, max_iter=10000)   \n",
+      "\n",
+      "                                     37                                  38  \\\n",
+      "0     Lasso(alpha=0.01, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "1    Lasso(alpha=1e-06, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "2    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "3    Lasso(alpha=0.001, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "4    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "..                                  ...                                 ...   \n",
+      "220  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "221  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "222  Lasso(alpha=0.001, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "223  Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "224   Lasso(alpha=0.01, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "\n",
+      "                                     39                                  40  \\\n",
+      "0     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "1    Lasso(alpha=1e-06, max_iter=10000)  Lasso(alpha=0.001, max_iter=10000)   \n",
+      "2      Lasso(alpha=0.1, max_iter=10000)  Lasso(alpha=1e-06, max_iter=10000)   \n",
+      "3     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "4     Lasso(alpha=0.01, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "..                                  ...                                 ...   \n",
+      "220  Lasso(alpha=1e-06, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "221  Lasso(alpha=1e-06, max_iter=10000)   Lasso(alpha=0.01, max_iter=10000)   \n",
+      "222   Lasso(alpha=0.01, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "223   Lasso(alpha=0.01, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "224  Lasso(alpha=1e-06, max_iter=10000)    Lasso(alpha=0.1, max_iter=10000)   \n",
+      "\n",
+      "                                     41  \n",
+      "0     Lasso(alpha=0.01, max_iter=10000)  \n",
+      "1     Lasso(alpha=0.01, max_iter=10000)  \n",
+      "2      Lasso(alpha=0.1, max_iter=10000)  \n",
+      "3    Lasso(alpha=1e-06, max_iter=10000)  \n",
+      "4     Lasso(alpha=0.01, max_iter=10000)  \n",
+      "..                                  ...  \n",
+      "220  Lasso(alpha=1e-06, max_iter=10000)  \n",
+      "221    Lasso(alpha=0.1, max_iter=10000)  \n",
+      "222    Lasso(alpha=0.1, max_iter=10000)  \n",
+      "223    Lasso(alpha=0.1, max_iter=10000)  \n",
+      "224    Lasso(alpha=0.1, max_iter=10000)  \n",
+      "\n",
+      "[225 rows x 42 columns]\n",
+      "[ 5.59942566e-02  1.65928198e-01  4.71117366e-02 -3.15478400e-02\n",
+      " -2.65203575e-02  1.09661560e-01 -2.05490651e-02  1.02881514e-01\n",
+      "  1.63876847e-01  1.38088308e-01 -2.07280699e-03  8.28383377e-02\n",
+      "  3.65067395e-02  3.96806844e-02  4.71539122e-02  1.08264656e-01\n",
+      "  1.24821498e-01 -6.77554732e-02  2.37382412e-02 -7.71222291e-03\n",
+      "  4.83034476e-03  8.56334383e-02  8.52769046e-02  6.90403659e-02\n",
+      "  4.93372560e-03  1.00217713e-01  8.59095182e-02  8.95988959e-02\n",
+      " -4.29675553e-02  1.51418869e-01  4.87767866e-02  5.37803477e-02\n",
+      " -3.62262479e-03  9.91225402e-02  9.36830456e-02  6.18045025e-02\n",
+      " -4.96962581e-02  1.50521229e-02 -1.42356156e-02 -1.97025909e-02\n",
+      "  4.73421015e-02  7.72926386e-02  8.68369210e-03 -1.03786492e-02\n",
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+      "  5.19949949e-02  1.26356541e-01  2.65047259e-01  6.88063025e-02\n",
+      "  5.16874971e-02  2.99907041e-02  1.07014302e-01  2.46449860e-02\n",
+      "  2.95515891e-02 -2.66441998e-02 -2.02205291e-02  1.83126980e-01\n",
+      "  1.41098085e-01  1.59929822e-01  5.03720586e-03  2.08562244e-02\n",
+      "  3.87503960e-02  5.42486535e-02  9.33033860e-02 -6.60315070e-03\n",
+      "  3.65772309e-02 -1.08367343e-02 -2.33226901e-02  1.87484784e-01\n",
+      "  8.93351047e-02 -5.18829846e-02  5.62588829e-02  5.84855778e-02\n",
+      " -4.00805275e-02 -1.10346451e-01  3.86421235e-02 -6.84644068e-03\n",
+      " -6.93393360e-03  1.79207536e-01  7.42293899e-03  1.06041620e-01\n",
+      " -4.20212597e-02  1.07428621e-01  1.21951074e-01  5.76576760e-02\n",
+      "  9.85525039e-02  3.64136191e-02  1.89802252e-01  8.08083031e-02\n",
+      "  5.68654077e-02 -4.73158143e-02  1.81857020e-01  3.24325520e-02\n",
+      " -2.89925893e-02  1.00848795e-01  6.68941248e-02 -3.13464273e-02\n",
+      "  1.43175147e-01  1.30478910e-01  6.65830676e-02  7.98030867e-03\n",
+      " -3.68708099e-02  3.15920632e-02  6.26790936e-02  5.01192064e-02\n",
+      "  3.26505137e-05  7.43288955e-02  2.04301912e-03  1.53836813e-02\n",
+      "  1.00417952e-01  2.15443340e-03  7.83697935e-03  2.14356206e-01\n",
+      " -1.79727366e-02  4.98052857e-02  1.03056103e-01  6.43713238e-03\n",
+      " -3.24213972e-02  1.73983552e-01  1.16333929e-01  6.46313935e-04\n",
+      "  5.67914166e-02  5.86645804e-02  1.48740947e-02  4.01671053e-02\n",
+      "  1.00428372e-01 -2.03200722e-02  1.34543970e-01  1.33225469e-02\n",
+      "  7.99769414e-02  7.71683192e-02  2.87525401e-02  7.52855709e-02\n",
+      " -3.62242372e-02  3.11728329e-02  4.04256071e-02  6.70283469e-02\n",
+      "  8.97284650e-02  1.56378882e-01  4.52700901e-02  3.50384889e-02\n",
+      "  4.62573682e-02  3.20876288e-03 -2.21904124e-02  1.76811085e-01\n",
+      "  1.13815346e-01  2.84831613e-02  1.54706771e-02  7.92886902e-02\n",
+      "  2.71904335e-02  5.79551917e-02 -3.31903208e-02  2.33204846e-01\n",
+      "  3.64396682e-02  1.22556605e-01  8.25531704e-02  1.46615267e-02\n",
+      "  4.63519003e-02 -1.29838902e-02  1.04929624e-01 -1.21122817e-02\n",
+      "  7.22245316e-02  1.47193697e-01  5.72030906e-02  1.20531638e-02\n",
+      "  1.36691762e-01  5.51350960e-02  1.43327802e-01  3.12145312e-02\n",
+      "  1.31170024e-01  1.01042890e-01  1.00283512e-01 -8.37792473e-03\n",
+      " -4.20053122e-02  4.57751430e-02 -2.45008817e-02  3.68878086e-03\n",
+      " -4.76625249e-02 -2.55131947e-02  7.65858350e-02  5.37125804e-02\n",
+      "  3.31830424e-02 -2.61312129e-02 -1.28633488e-02  5.36039102e-02\n",
+      "  7.80016694e-02 -1.97260549e-02  4.64114131e-03  4.59375594e-03\n",
+      "  1.50302917e-01  2.41716891e-02  1.66759361e-01  1.31149086e-01\n",
+      "  9.28510277e-02 -2.51413100e-02  8.59073508e-02  2.65047259e-01\n",
+      " -1.48193724e-02  1.00417952e-01  4.47446355e-02  8.98131342e-02\n",
+      " -1.66531047e-02  1.57320622e-02  9.13911088e-02  1.04752864e-03\n",
+      "  1.11047925e-01 -2.28224294e-02  3.17404410e-03 -8.98816798e-03\n",
+      "  1.00282537e-01  9.71429134e-02  8.25482390e-02  5.51092061e-02\n",
+      "  5.17017942e-02  2.34621414e-02 -2.48687895e-02  1.40496332e-01\n",
+      "  4.64728991e-02  7.19273142e-02  1.07474115e-02  7.22999943e-02\n",
+      " -1.36066608e-02 -1.96037637e-02  4.90878835e-02  6.93309793e-03\n",
+      " -1.61562045e-02  1.48894221e-01  1.17804546e-01  1.56343468e-01\n",
+      "  5.54578852e-02  1.68713436e-01 -4.85680170e-02  7.96632968e-03\n",
+      " -6.42425927e-02  1.19887593e-01 -2.44330946e-02  8.21379546e-03\n",
+      "  1.88777907e-02 -2.90187577e-02  1.66656477e-01 -8.31685865e-03\n",
+      "  3.56971913e-02 -2.43600977e-02  8.22325685e-02  1.20037564e-01\n",
+      "  1.37717435e-02  7.61620511e-02  8.27913699e-02  5.05822626e-02\n",
+      "  3.82828060e-02  8.30237233e-02  7.95218986e-02  5.59553024e-02\n",
+      "  2.74033771e-03  8.20976704e-02  3.29050138e-02]\n"
+     ]
+    }
+   ],
+   "source": [
+    "GCP2MET_models = pd.DataFrame()\n",
+    "for i in range(Xtrain.shape[1]):\n",
+    "    for j in range(Ytrain.shape[1]):\n",
+    "        mdl_G2M =linear_model.Lasso(alpha=best_alpha_G2M[i,j],max_iter=10000, tol=0.0001).fit(Xtrain[:,i].reshape(-1,1), Ytrain[:, j])\n",
+    "        GCP2MET_models.at[i,j]  = mdl_G2M\n",
+    "print(GCP2MET_models.shape)\n",
+    "\n",
+    "MET2GCP_models = pd.DataFrame() \n",
+    "for i in range(Ytrain.shape[1]):\n",
+    "    for j in range(Xtrain.shape[1]):\n",
+    "        mdl_M2G = linear_model.Lasso(alpha=best_alpha_M2G[i,j],max_iter=10000, tol=0.0001).fit(Ytrain[:,i].reshape(-1,1), Xtrain[:,j])\n",
+    "        MET2GCP_models.at[i,j]= mdl_M2G\n",
+    "print(MET2GCP_models)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### To evaluate models and get correlation coefficient, pvalue, and mse value."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "for col in df:\n",
+    "    if col == 'views':\n",
+    "        continue\n",
+    "    for i, row_value in df[col].iteritems():\n",
+    "        df[col][i] = row_value * df['views'][i]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-05, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.0001, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.001, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=0.01, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=1e-06, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n",
+      "Lasso(alpha=0.1, max_iter=10000)\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "(Empty DataFrame\n",
+       " Columns: []\n",
+       " Index: [],\n",
+       " Empty DataFrame\n",
+       " Columns: []\n",
+       " Index: [],\n",
+       " Empty DataFrame\n",
+       " Columns: []\n",
+       " Index: [])"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def evaluate_models(models, Xtest, Ytest):\n",
+    "    \"\"\"\n",
+    "    evaluate_models returns results from the model predictions, including the pearson\n",
+    "    correlation coefficient, p-Values, and MSE.\n",
+    "\n",
+    "    :param models:         A list of scikit-learn model objects.\n",
+    "    :param Xtest:          A numpy array or pandas dataframe containing validation set input data.\n",
+    "    :param Ytest:          A numpy array or pandas dataframe containing validation set output data.\n",
+    "    :return pred_resul:    A dictionary containing the final MSE, pValue, or rValue.\n",
+    "    \n",
+    "    \"\"\"\n",
+    "    \n",
+    "    predictions = []\n",
+    "    rValue = list()\n",
+    "    pValue = list()\n",
+    "    MSE = list()\n",
+    "    for col in models:\n",
+    "        for i,row_value in models[col].iteritems():\n",
+    "#             mdl = models[col][i]\n",
+    "            Ypred = row_value.predict(Xtest[:,i].reshape(-1,1))  \n",
+    "    \n",
+    "            r, pvalue = pearsonr(Ypred, Ytest[:, col])\n",
+    "            rValue.append(r)\n",
+    "            pValue.append(pvalue)\n",
+    "        \n",
+    "            mse = mean_squared_error(Ytest[:, i], Ypred)\n",
+    "            MSE.append(mse)\n",
+    "    \n",
+    "    df_MSE = pd.DataFrame(MSE)\n",
+    "    df_pValue = pd.DataFrame(pValue)\n",
+    "    df_rValue = pd.DataFrame(rValue)\n",
+    "    \n",
+    "    return df_MSE, df_pValue, df_rValue\n",
+    "\n",
+    "evaluate_models(GCP2MET_models,Xtest, Ytest)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## GCP_to_MET\n",
+    "### perform 3-fold cross validation to find model that generate the smallest mse value."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "AttributeError",
+     "evalue": "'Series' object has no attribute 'predict'",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
+      "\u001b[0;32m<ipython-input-21-f92102a3488a>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mmse1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpearson1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mevaluate_models\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mGCP2MET_models\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mXtest\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mYtest\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m \u001b[0mmse1\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"GCP2MET_models\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0;31m# print(mse1)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;32m<ipython-input-20-52701749b16d>\u001b[0m in \u001b[0;36mevaluate_models\u001b[0;34m(models, Xtest, Ytest)\u001b[0m\n\u001b[1;32m     17\u001b[0m     \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodels\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     18\u001b[0m         \u001b[0mmdl\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodels\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 19\u001b[0;31m         \u001b[0mYpred\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmdl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mXtest\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     20\u001b[0m         \u001b[0mpredictions\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mYpred\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     21\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;32m~/opt/anaconda3/lib/python3.8/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m   5272\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_can_hold_identifiers_and_holds_name\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   5273\u001b[0m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 5274\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   5275\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   5276\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;31mAttributeError\u001b[0m: 'Series' object has no attribute 'predict'"
+     ]
+    }
+   ],
+   "source": [
+    "mse1,p1,pearson1 = evaluate_models(GCP2MET_models, Xtest, Ytest)\n",
+    "mse1.columns = [\"GCP2MET_models\"]\n",
+    "# print(mse1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "kf = KFold(n_splits=3)\n",
+    "\n",
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse_result = pd.DataFrame()\n",
+    "pvalue_result = pd.DataFrame()\n",
+    "rvalue_result = pd.DataFrame()\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_GCP2MET_models = []\n",
+    "    final_metrics = []\n",
+    "    for i in range(y_train.shape[1]):\n",
+    "        mdl_G2M = linear_model.Lasso(alpha=best_alpha_G2M[i],max_iter=10000, tol=0.0001).fit(X_train, y_train[:, i])\n",
+    "        v_GCP2MET_models.append(mdl_G2M)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_GCP2MET_models, X_test, y_test)\n",
+    "    mse_result = pd.concat([mse_result,df_MSE],axis = 1)\n",
+    "    pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "    rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "mse_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse_result = mse_result.T\n",
+    "print(mse_result)   "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [],
+   "source": [
+    "minMSE = mse_result.idxmin()\n",
+    "# print(minMSE)\n",
+    "\n",
+    "mse_min = pd.DataFrame()\n",
+    "MSE_min = list()\n",
+    "for index in mse_result:\n",
+    "    v = mse_result[index][minMSE[index]]\n",
+    "    MSE_min.append(v)\n",
+    "#     print(v)\n",
+    "mse_min = pd.DataFrame(MSE_min)\n",
+    "mse_min.columns = [\"v_GCP2MET_models\"]\n",
+    "# print(mse_min)\n",
+    "raw = mse1.join(mse_min)\n",
+    "print(raw)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Generate new list of model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [],
+   "source": [
+    "new_GCP2MET = list()\n",
+    "for index, row in raw.iterrows():\n",
+    "    if row['GCP2MET_models'] < row['v_GCP2MET_models']:\n",
+    "        new_GCP2MET.append(GCP2MET_models[index])\n",
+    "    else:\n",
+    "        new_GCP2MET.append(v_GCP2MET_models[index])\n",
+    "    \n",
+    "print(new_GCP2MET)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Evaluate if the correlation coefficient generated with the list of best model is significant or not"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [],
+   "source": [
+    "mse_G2M,p_G2M,pearson_G2M = evaluate_models(new_GCP2MET, Xtest, Ytest)\n",
+    "metab_name.columns = [\"METAB_NAME\"]\n",
+    "p_G2M.columns = [\"GCP2MET_p\"]\n",
+    "pearson_G2M.columns = [\"GCP2MET_r\"]\n",
+    "raw_G2M = pd.concat([pearson_G2M,p_G2M],axis = 1)\n",
+    "pearson_G2M.columns = [\"GCP2MET_r_0.05\"]\n",
+    "heat_G2M = pd.concat([pearson_G2M, raw_G2M],axis = 1)\n",
+    "print(heat_G2M)\n",
+    "for index, row in heat_G2M.iterrows():\n",
+    "    if row['GCP2MET_p'] >= 0.05:\n",
+    "        row['GCP2MET_r_0.05'] = 'NaN'\n",
+    "new_G2M = pd.concat([metab_name, heat_G2M],axis = 1)\n",
+    "top10_G2M = new_G2M.nsmallest(10, ['GCP2MET_p'])\n",
+    "print (top10_G2M)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### MET TO GCP (repeat the same process above)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "mse2,p2,pearson2 = evaluate_models(MET2GCP_models, Ytest, Xtest)\n",
+    "mse2.columns = [\"MET2GCP_models\"]\n",
+    "\n",
+    "kf = KFold(n_splits=3)\n",
+    "KFold(n_splits=3, random_state=None, shuffle=True)\n",
+    "mse2_result = pd.DataFrame()\n",
+    "\n",
+    "for train_index, test_index in kf.split(Xtrain, Ytrain):\n",
+    "    X_train, X_test = Xtrain[train_index], Xtrain[test_index]\n",
+    "    y_train, y_test = Ytrain[train_index], Ytrain[test_index]\n",
+    "    v_MET2GCP_models = []\n",
+    "    metrics = []\n",
+    "    for i in range(X_train.shape[1]):\n",
+    "        mdl_M2G = linear_model.Lasso(alpha=best_alpha_M2G[i],max_iter=10000, tol=0.0001).fit(y_train, X_train[:, i])\n",
+    "        v_MET2GCP_models.append(mdl_M2G)\n",
+    "        df_MSE, df_pValue, df_rValue = evaluate_models(v_MET2GCP_models, y_test, X_test)\n",
+    "    mse2_result = pd.concat([mse2_result,df_MSE],axis = 1)\n",
+    "#     pvalue_result = pd.concat([pvalue_result,df_pValue],axis = 1)\n",
+    "#     rvalue_result = pd.concat([rvalue_result,df_rValue],axis = 1)\n",
+    "mse2_result.columns = [\"mse1\",\"mse2\",\"mse3\"]\n",
+    "mse2_result = mse2_result.T\n",
+    "# print(mse2_result) "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "minMSE2 = mse2_result.idxmin()\n",
+    "# print(minMSE)\n",
+    "\n",
+    "mse2_min = pd.DataFrame()\n",
+    "MSE2_min = list()\n",
+    "for index in mse2_result:\n",
+    "    v = mse2_result[index][minMSE2[index]]\n",
+    "    MSE2_min.append(v)\n",
+    "#     print(v)\n",
+    "mse2_min = pd.DataFrame(MSE2_min)\n",
+    "mse2_min.columns = [\"v_MET2GCP_models\"]\n",
+    "# print(mse2_min)\n",
+    "raw2 = mse2.join(mse2_min)\n",
+    "\n",
+    "new_MET2GCP = list()\n",
+    "for index, row in raw2.iterrows():\n",
+    "    if row['MET2GCP_models'] < row['v_MET2GCP_models']:\n",
+    "        \n",
+    "        new_MET2GCP.append(MET2GCP_models[index])\n",
+    "    else:\n",
+    "        new_MET2GCP.append(v_MET2GCP_models[index])\n",
+    "              \n",
+    "    \n",
+    "print(new_MET2GCP)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "mse_M2G,p_M2G,pearson_M2G = evaluate_models(new_MET2GCP, Ytest, Xtest)\n",
+    "his_name.columns = [\"HIS_NAME\"]\n",
+    "p_M2G.columns = [\"MET2GCP_p\"]\n",
+    "pearson_M2G.columns = [\"MET2GCP_r\"]\n",
+    "raw_M2G = pd.concat([pearson_M2G, p_M2G],axis = 1)\n",
+    "pearson_M2G.columns = [\"MET2GCP_r_0.05\"]\n",
+    "heat_M2G = pd.concat([pearson_M2G, raw_M2G],axis = 1)\n",
+    "for index, row in heat_M2G.iterrows():\n",
+    "    if row['MET2GCP_p'] >= 0.05:\n",
+    "        row['MET2GCP_r_0.05'] = 'NaN'\n",
+    "print(heat_M2G)\n",
+    "new_M2G = pd.concat([his_name, heat_M2G],axis = 1)\n",
+    "print(new_M2G)\n",
+    "top10_M2G = new_M2G.nsmallest(10, ['MET2GCP_p'])\n",
+    "print (top10_M2G)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "with sns.axes_style(\"darkgrid\"):\n",
+    "    f, G2M_heatmap = plt.subplots(figsize=(5, 100))\n",
+    "    G2M_heatmap = sns.heatmap(heat_G2M, annot=True, vmin = -1, vmax= 1)\n",
+    "with sns.axes_style(\"darkgrid\"):\n",
+    "    f, M2G_heatmap = plt.subplots(figsize=(5, 15))\n",
+    "    M2G_heatmap = sns.heatmap(heat_M2G, annot=True, vmin = -1, vmax= 1)\n",
+    "G2M_heatmap.figure.savefig(\"G2M_heatmap.png\")\n",
+    "M2G_heatmap.figure.savefig(\"M2G_heatmap.png\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "corr_G2M = np.zeros([42, 225])\n",
+    "for i in range(GCP.shape[1]):\n",
+    "    for j in range(MET.shape[1]):\n",
+    "        r_1, pvalue1 = pearsonr(MET[:,j], GCP[:, i])\n",
+    "        r1 = round(r_1, 2)\n",
+    "        corr_G2M[i][j] = r1\n",
+    "print(corr_G2M)\n",
+    "\n",
+    "corr_M2G = np.zeros([225, 42])\n",
+    "for i in range(MET.shape[1]):\n",
+    "    for j in range(GCP.shape[1]):\n",
+    "        r_2, pvalue2 = pearsonr(MET[:,i], GCP[:, j])\n",
+    "        r2 = round(r_2, 2)\n",
+    "        corr_M2G[i][j] = r2\n",
+    "with sns.axes_style(\"darkgrid\"):\n",
+    "    f, G2M_heatmap = plt.subplots(figsize=(50, 50))\n",
+    "    corr_G2M_heatmap = sns.heatmap(corr_G2M, annot=True, vmin = -1, vmax= 1)\n",
+    "with sns.axes_style(\"darkgrid\"):\n",
+    "    f, M2G_heatmap = plt.subplots(figsize=(50, 50))\n",
+    "    corr_M2G_heatmap = sns.heatmap(corr_M2G, annot=True, vmin = -1, vmax= 1)\n",
+    "corr_G2M_heatmap.figure.savefig(\"corr_G2M_heatmap.png\")\n",
+    "corr_M2G_heatmap.figure.savefig(\"corr_M2G_heatmap.png\")\n",
+    "np.savetxt(\"G2M_corr_LASSO.csv\", corr_G2M, delimiter=\",\")\n",
+    "np.savetxt(\"M2G_corr_LASSO.csv\", corr_M2G, delimiter=\",\")\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}